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Finding the Third Proportional to 15,778 and 23,635

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Solution

The third proportional to 15,778 and 23,635 is: 35,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778 : 23,635 = 23,635 : x
  2. Step 2: Convert to fraction form
    15,778/23,635 = 23,635/x
  3. Step 3: Cross multiply
    15,778x = 23,635 × 23,635
  4. Step 4: Simplify right side
    15,778x = 558,613,225
  5. Step 5: Solve for x
    x = 558,613,225/15,778
  6. Step 6: Final answer
    x = 35,404.56

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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.