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Finding the Third Proportional to 24,560 and 37,045

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Solution

The third proportional to 24,560 and 37,045 is: 55,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,560 : 37,045 = 37,045 : x
  2. Step 2: Convert to fraction form
    24,560/37,045 = 37,045/x
  3. Step 3: Cross multiply
    24,560x = 37,045 × 37,045
  4. Step 4: Simplify right side
    24,560x = 1,372,332,025
  5. Step 5: Solve for x
    x = 1,372,332,025/24,560
  6. Step 6: Final answer
    x = 55,876.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.