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Finding the Third Proportional to 7,524 and 17,582

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Solution

The third proportional to 7,524 and 17,582 is: 41,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 17,582 = 17,582 : x
  2. Step 2: Convert to fraction form
    7,524/17,582 = 17,582/x
  3. Step 3: Cross multiply
    7,524x = 17,582 × 17,582
  4. Step 4: Simplify right side
    7,524x = 309,126,724
  5. Step 5: Solve for x
    x = 309,126,724/7,524
  6. Step 6: Final answer
    x = 41,085.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.