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Finding the Third Proportional to 38,001.38 and 84,740.63

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Solution

The third proportional to 38,001.38 and 84,740.63 is: 188,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,001.38 : 84,740.63 = 84,740.63 : x
  2. Step 2: Convert to fraction form
    38,001.38/84,740.63 = 84,740.63/x
  3. Step 3: Cross multiply
    38,001.38x = 84,740.63 × 84,740.63
  4. Step 4: Simplify right side
    38,001.38x = 7,180,973,525.39
  5. Step 5: Solve for x
    x = 7,180,973,525.39/38,001.38
  6. Step 6: Final answer
    x = 188,966.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.