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Finding the Third Proportional to 24,110 and 37,082

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Solution

The third proportional to 24,110 and 37,082 is: 57,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,110 : 37,082 = 37,082 : x
  2. Step 2: Convert to fraction form
    24,110/37,082 = 37,082/x
  3. Step 3: Cross multiply
    24,110x = 37,082 × 37,082
  4. Step 4: Simplify right side
    24,110x = 1,375,074,724
  5. Step 5: Solve for x
    x = 1,375,074,724/24,110
  6. Step 6: Final answer
    x = 57,033.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.