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Finding the Third Proportional to 38,577 and 83,247

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Solution

The third proportional to 38,577 and 83,247 is: 179,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,577 : 83,247 = 83,247 : x
  2. Step 2: Convert to fraction form
    38,577/83,247 = 83,247/x
  3. Step 3: Cross multiply
    38,577x = 83,247 × 83,247
  4. Step 4: Simplify right side
    38,577x = 6,930,063,009
  5. Step 5: Solve for x
    x = 6,930,063,009/38,577
  6. Step 6: Final answer
    x = 179,642.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.