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Finding the Third Proportional to 15,532 and 34,504

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Solution

The third proportional to 15,532 and 34,504 is: 76,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532 : 34,504 = 34,504 : x
  2. Step 2: Convert to fraction form
    15,532/34,504 = 34,504/x
  3. Step 3: Cross multiply
    15,532x = 34,504 × 34,504
  4. Step 4: Simplify right side
    15,532x = 1,190,526,016
  5. Step 5: Solve for x
    x = 1,190,526,016/15,532
  6. Step 6: Final answer
    x = 76,649.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.