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Finding the Third Proportional to 24,143 and 37,307

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Solution

The third proportional to 24,143 and 37,307 is: 57,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143 : 37,307 = 37,307 : x
  2. Step 2: Convert to fraction form
    24,143/37,307 = 37,307/x
  3. Step 3: Cross multiply
    24,143x = 37,307 × 37,307
  4. Step 4: Simplify right side
    24,143x = 1,391,812,249
  5. Step 5: Solve for x
    x = 1,391,812,249/24,143
  6. Step 6: Final answer
    x = 57,648.69

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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.