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Finding the Third Proportional to 15,776 and 23,780

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Solution

The third proportional to 15,776 and 23,780 is: 35,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776 : 23,780 = 23,780 : x
  2. Step 2: Convert to fraction form
    15,776/23,780 = 23,780/x
  3. Step 3: Cross multiply
    15,776x = 23,780 × 23,780
  4. Step 4: Simplify right side
    15,776x = 565,488,400
  5. Step 5: Solve for x
    x = 565,488,400/15,776
  6. Step 6: Final answer
    x = 35,844.85

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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.