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Finding the Third Proportional to 24,120 and 37,344

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Solution

The third proportional to 24,120 and 37,344 is: 57,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 37,344 = 37,344 : x
  2. Step 2: Convert to fraction form
    24,120/37,344 = 37,344/x
  3. Step 3: Cross multiply
    24,120x = 37,344 × 37,344
  4. Step 4: Simplify right side
    24,120x = 1,394,574,336
  5. Step 5: Solve for x
    x = 1,394,574,336/24,120
  6. Step 6: Final answer
    x = 57,818.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.