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Finding the Third Proportional to 10,470 and 24,471

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Solution

The third proportional to 10,470 and 24,471 is: 57,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470 : 24,471 = 24,471 : x
  2. Step 2: Convert to fraction form
    10,470/24,471 = 24,471/x
  3. Step 3: Cross multiply
    10,470x = 24,471 × 24,471
  4. Step 4: Simplify right side
    10,470x = 598,829,841
  5. Step 5: Solve for x
    x = 598,829,841/10,470
  6. Step 6: Final answer
    x = 57,194.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.