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Finding the Third Proportional to 24,540 and 37,572

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Solution

The third proportional to 24,540 and 37,572 is: 57,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540 : 37,572 = 37,572 : x
  2. Step 2: Convert to fraction form
    24,540/37,572 = 37,572/x
  3. Step 3: Cross multiply
    24,540x = 37,572 × 37,572
  4. Step 4: Simplify right side
    24,540x = 1,411,655,184
  5. Step 5: Solve for x
    x = 1,411,655,184/24,540
  6. Step 6: Final answer
    x = 57,524.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.