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Finding the Third Proportional to 45,976 and 62,402

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Solution

The third proportional to 45,976 and 62,402 is: 84,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,976 : 62,402 = 62,402 : x
  2. Step 2: Convert to fraction form
    45,976/62,402 = 62,402/x
  3. Step 3: Cross multiply
    45,976x = 62,402 × 62,402
  4. Step 4: Simplify right side
    45,976x = 3,894,009,604
  5. Step 5: Solve for x
    x = 3,894,009,604/45,976
  6. Step 6: Final answer
    x = 84,696.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.