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Finding the Third Proportional to 42,001 and 65,714

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Solution

The third proportional to 42,001 and 65,714 is: 102,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001 : 65,714 = 65,714 : x
  2. Step 2: Convert to fraction form
    42,001/65,714 = 65,714/x
  3. Step 3: Cross multiply
    42,001x = 65,714 × 65,714
  4. Step 4: Simplify right side
    42,001x = 4,318,329,796
  5. Step 5: Solve for x
    x = 4,318,329,796/42,001
  6. Step 6: Final answer
    x = 102,814.93

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