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Finding the Third Proportional to 38,687 and 84,784

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Solution

The third proportional to 38,687 and 84,784 is: 185,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,687 : 84,784 = 84,784 : x
  2. Step 2: Convert to fraction form
    38,687/84,784 = 84,784/x
  3. Step 3: Cross multiply
    38,687x = 84,784 × 84,784
  4. Step 4: Simplify right side
    38,687x = 7,188,326,656
  5. Step 5: Solve for x
    x = 7,188,326,656/38,687
  6. Step 6: Final answer
    x = 185,807.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.