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Finding the Third Proportional to 87,524.50 and 96,547

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Solution

The third proportional to 87,524.50 and 96,547 is: 106,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524.50 : 96,547 = 96,547 : x
  2. Step 2: Convert to fraction form
    87,524.50/96,547 = 96,547/x
  3. Step 3: Cross multiply
    87,524.50x = 96,547 × 96,547
  4. Step 4: Simplify right side
    87,524.50x = 9,321,323,209
  5. Step 5: Solve for x
    x = 9,321,323,209/87,524.50
  6. Step 6: Final answer
    x = 106,499.59

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.