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Finding the Third Proportional to 15,532 and 35,774

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Solution

The third proportional to 15,532 and 35,774 is: 82,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532 : 35,774 = 35,774 : x
  2. Step 2: Convert to fraction form
    15,532/35,774 = 35,774/x
  3. Step 3: Cross multiply
    15,532x = 35,774 × 35,774
  4. Step 4: Simplify right side
    15,532x = 1,279,779,076
  5. Step 5: Solve for x
    x = 1,279,779,076/15,532
  6. Step 6: Final answer
    x = 82,396.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.