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Finding the Third Proportional to 23,920 and 37,114

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Solution

The third proportional to 23,920 and 37,114 is: 57,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920 : 37,114 = 37,114 : x
  2. Step 2: Convert to fraction form
    23,920/37,114 = 37,114/x
  3. Step 3: Cross multiply
    23,920x = 37,114 × 37,114
  4. Step 4: Simplify right side
    23,920x = 1,377,448,996
  5. Step 5: Solve for x
    x = 1,377,448,996/23,920
  6. Step 6: Final answer
    x = 57,585.66

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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.