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Finding the Third Proportional to 16,252 and 24,578

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Solution

The third proportional to 16,252 and 24,578 is: 37,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252 : 24,578 = 24,578 : x
  2. Step 2: Convert to fraction form
    16,252/24,578 = 24,578/x
  3. Step 3: Cross multiply
    16,252x = 24,578 × 24,578
  4. Step 4: Simplify right side
    16,252x = 604,078,084
  5. Step 5: Solve for x
    x = 604,078,084/16,252
  6. Step 6: Final answer
    x = 37,169.46

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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.