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Finding the Third Proportional to 15,412 and 23,766

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Solution

The third proportional to 15,412 and 23,766 is: 36,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412 : 23,766 = 23,766 : x
  2. Step 2: Convert to fraction form
    15,412/23,766 = 23,766/x
  3. Step 3: Cross multiply
    15,412x = 23,766 × 23,766
  4. Step 4: Simplify right side
    15,412x = 564,822,756
  5. Step 5: Solve for x
    x = 564,822,756/15,412
  6. Step 6: Final answer
    x = 36,648.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.