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Finding the Third Proportional to 41,470 and 62,504

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Solution

The third proportional to 41,470 and 62,504 is: 94,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,470 : 62,504 = 62,504 : x
  2. Step 2: Convert to fraction form
    41,470/62,504 = 62,504/x
  3. Step 3: Cross multiply
    41,470x = 62,504 × 62,504
  4. Step 4: Simplify right side
    41,470x = 3,906,750,016
  5. Step 5: Solve for x
    x = 3,906,750,016/41,470
  6. Step 6: Final answer
    x = 94,206.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.