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Finding the Third Proportional to 8,174 and 15,532

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Solution

The third proportional to 8,174 and 15,532 is: 29,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174 : 15,532 = 15,532 : x
  2. Step 2: Convert to fraction form
    8,174/15,532 = 15,532/x
  3. Step 3: Cross multiply
    8,174x = 15,532 × 15,532
  4. Step 4: Simplify right side
    8,174x = 241,243,024
  5. Step 5: Solve for x
    x = 241,243,024/8,174
  6. Step 6: Final answer
    x = 29,513.46

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.