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Finding the Third Proportional to 42,872 and 66,762

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Solution

The third proportional to 42,872 and 66,762 is: 103,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,872 : 66,762 = 66,762 : x
  2. Step 2: Convert to fraction form
    42,872/66,762 = 66,762/x
  3. Step 3: Cross multiply
    42,872x = 66,762 × 66,762
  4. Step 4: Simplify right side
    42,872x = 4,457,164,644
  5. Step 5: Solve for x
    x = 4,457,164,644/42,872
  6. Step 6: Final answer
    x = 103,964.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.