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Finding the Third Proportional to 24,942 and 55,421

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Solution

The third proportional to 24,942 and 55,421 is: 123,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942 : 55,421 = 55,421 : x
  2. Step 2: Convert to fraction form
    24,942/55,421 = 55,421/x
  3. Step 3: Cross multiply
    24,942x = 55,421 × 55,421
  4. Step 4: Simplify right side
    24,942x = 3,071,487,241
  5. Step 5: Solve for x
    x = 3,071,487,241/24,942
  6. Step 6: Final answer
    x = 123,145.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.