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Finding the Third Proportional to 32,884.50 and 71,919

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Solution

The third proportional to 32,884.50 and 71,919 is: 157,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.50 : 71,919 = 71,919 : x
  2. Step 2: Convert to fraction form
    32,884.50/71,919 = 71,919/x
  3. Step 3: Cross multiply
    32,884.50x = 71,919 × 71,919
  4. Step 4: Simplify right side
    32,884.50x = 5,172,342,561
  5. Step 5: Solve for x
    x = 5,172,342,561/32,884.50
  6. Step 6: Final answer
    x = 157,288.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.