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Finding the Third Proportional to 24,246 and 37,521

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Solution

The third proportional to 24,246 and 37,521 is: 58,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,246 : 37,521 = 37,521 : x
  2. Step 2: Convert to fraction form
    24,246/37,521 = 37,521/x
  3. Step 3: Cross multiply
    24,246x = 37,521 × 37,521
  4. Step 4: Simplify right side
    24,246x = 1,407,825,441
  5. Step 5: Solve for x
    x = 1,407,825,441/24,246
  6. Step 6: Final answer
    x = 58,064.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.