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Finding the Third Proportional to 15,766 and 23,651

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Solution

The third proportional to 15,766 and 23,651 is: 35,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766 : 23,651 = 23,651 : x
  2. Step 2: Convert to fraction form
    15,766/23,651 = 23,651/x
  3. Step 3: Cross multiply
    15,766x = 23,651 × 23,651
  4. Step 4: Simplify right side
    15,766x = 559,369,801
  5. Step 5: Solve for x
    x = 559,369,801/15,766
  6. Step 6: Final answer
    x = 35,479.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.