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Finding the Third Proportional to 24,390 and 53,424

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Solution

The third proportional to 24,390 and 53,424 is: 117,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,390 : 53,424 = 53,424 : x
  2. Step 2: Convert to fraction form
    24,390/53,424 = 53,424/x
  3. Step 3: Cross multiply
    24,390x = 53,424 × 53,424
  4. Step 4: Simplify right side
    24,390x = 2,854,123,776
  5. Step 5: Solve for x
    x = 2,854,123,776/24,390
  6. Step 6: Final answer
    x = 117,020.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.