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Finding the Third Proportional to 46,476 and 62,448

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Solution

The third proportional to 46,476 and 62,448 is: 83,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,476 : 62,448 = 62,448 : x
  2. Step 2: Convert to fraction form
    46,476/62,448 = 62,448/x
  3. Step 3: Cross multiply
    46,476x = 62,448 × 62,448
  4. Step 4: Simplify right side
    46,476x = 3,899,752,704
  5. Step 5: Solve for x
    x = 3,899,752,704/46,476
  6. Step 6: Final answer
    x = 83,908.96

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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.