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Finding the Third Proportional to 24,988 and 37,103

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Solution

The third proportional to 24,988 and 37,103 is: 55,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,988 : 37,103 = 37,103 : x
  2. Step 2: Convert to fraction form
    24,988/37,103 = 37,103/x
  3. Step 3: Cross multiply
    24,988x = 37,103 × 37,103
  4. Step 4: Simplify right side
    24,988x = 1,376,632,609
  5. Step 5: Solve for x
    x = 1,376,632,609/24,988
  6. Step 6: Final answer
    x = 55,091.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.