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Finding the Third Proportional to 42,952 and 66,374

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Solution

The third proportional to 42,952 and 66,374 is: 102,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952 : 66,374 = 66,374 : x
  2. Step 2: Convert to fraction form
    42,952/66,374 = 66,374/x
  3. Step 3: Cross multiply
    42,952x = 66,374 × 66,374
  4. Step 4: Simplify right side
    42,952x = 4,405,507,876
  5. Step 5: Solve for x
    x = 4,405,507,876/42,952
  6. Step 6: Final answer
    x = 102,568.17

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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.