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Finding the Third Proportional to 46,012 and 62,862

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Solution

The third proportional to 46,012 and 62,862 is: 85,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,012 : 62,862 = 62,862 : x
  2. Step 2: Convert to fraction form
    46,012/62,862 = 62,862/x
  3. Step 3: Cross multiply
    46,012x = 62,862 × 62,862
  4. Step 4: Simplify right side
    46,012x = 3,951,631,044
  5. Step 5: Solve for x
    x = 3,951,631,044/46,012
  6. Step 6: Final answer
    x = 85,882.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.