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Finding the Third Proportional to 24,521 and 37,571

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Solution

The third proportional to 24,521 and 37,571 is: 57,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,521 : 37,571 = 37,571 : x
  2. Step 2: Convert to fraction form
    24,521/37,571 = 37,571/x
  3. Step 3: Cross multiply
    24,521x = 37,571 × 37,571
  4. Step 4: Simplify right side
    24,521x = 1,411,580,041
  5. Step 5: Solve for x
    x = 1,411,580,041/24,521
  6. Step 6: Final answer
    x = 57,566.17

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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.