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Finding the Third Proportional to 16,511 and 25,578

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Solution

The third proportional to 16,511 and 25,578 is: 39,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511 : 25,578 = 25,578 : x
  2. Step 2: Convert to fraction form
    16,511/25,578 = 25,578/x
  3. Step 3: Cross multiply
    16,511x = 25,578 × 25,578
  4. Step 4: Simplify right side
    16,511x = 654,234,084
  5. Step 5: Solve for x
    x = 654,234,084/16,511
  6. Step 6: Final answer
    x = 39,624.13

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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.