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Finding the Third Proportional to 16,001.50 and 22,524

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Solution

The third proportional to 16,001.50 and 22,524 is: 31,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.50 : 22,524 = 22,524 : x
  2. Step 2: Convert to fraction form
    16,001.50/22,524 = 22,524/x
  3. Step 3: Cross multiply
    16,001.50x = 22,524 × 22,524
  4. Step 4: Simplify right side
    16,001.50x = 507,330,576
  5. Step 5: Solve for x
    x = 507,330,576/16,001.50
  6. Step 6: Final answer
    x = 31,705.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.