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Finding the Third Proportional to 42,385 and 51,862

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Solution

The third proportional to 42,385 and 51,862 is: 63,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,385 : 51,862 = 51,862 : x
  2. Step 2: Convert to fraction form
    42,385/51,862 = 51,862/x
  3. Step 3: Cross multiply
    42,385x = 51,862 × 51,862
  4. Step 4: Simplify right side
    42,385x = 2,689,667,044
  5. Step 5: Solve for x
    x = 2,689,667,044/42,385
  6. Step 6: Final answer
    x = 63,457.99

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.