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Finding the Third Proportional to 46,540 and 62,427

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Solution

The third proportional to 46,540 and 62,427 is: 83,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,540 : 62,427 = 62,427 : x
  2. Step 2: Convert to fraction form
    46,540/62,427 = 62,427/x
  3. Step 3: Cross multiply
    46,540x = 62,427 × 62,427
  4. Step 4: Simplify right side
    46,540x = 3,897,130,329
  5. Step 5: Solve for x
    x = 3,897,130,329/46,540
  6. Step 6: Final answer
    x = 83,737.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.