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Finding the Third Proportional to 23,370 and 37,593

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Solution

The third proportional to 23,370 and 37,593 is: 60,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,370 : 37,593 = 37,593 : x
  2. Step 2: Convert to fraction form
    23,370/37,593 = 37,593/x
  3. Step 3: Cross multiply
    23,370x = 37,593 × 37,593
  4. Step 4: Simplify right side
    23,370x = 1,413,233,649
  5. Step 5: Solve for x
    x = 1,413,233,649/23,370
  6. Step 6: Final answer
    x = 60,472.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.