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Finding the Third Proportional to 38,000.63 and 84,739.13

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Solution

The third proportional to 38,000.63 and 84,739.13 is: 188,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.63 : 84,739.13 = 84,739.13 : x
  2. Step 2: Convert to fraction form
    38,000.63/84,739.13 = 84,739.13/x
  3. Step 3: Cross multiply
    38,000.63x = 84,739.13 × 84,739.13
  4. Step 4: Simplify right side
    38,000.63x = 7,180,719,305.77
  5. Step 5: Solve for x
    x = 7,180,719,305.77/38,000.63
  6. Step 6: Final answer
    x = 188,963.19

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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.