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Finding the Third Proportional to 42,787 and 66,413

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Solution

The third proportional to 42,787 and 66,413 is: 103,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,787 : 66,413 = 66,413 : x
  2. Step 2: Convert to fraction form
    42,787/66,413 = 66,413/x
  3. Step 3: Cross multiply
    42,787x = 66,413 × 66,413
  4. Step 4: Simplify right side
    42,787x = 4,410,686,569
  5. Step 5: Solve for x
    x = 4,410,686,569/42,787
  6. Step 6: Final answer
    x = 103,084.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.