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Finding the Third Proportional to 32,730 and 71,292.75

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Solution

The third proportional to 32,730 and 71,292.75 is: 155,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730 : 71,292.75 = 71,292.75 : x
  2. Step 2: Convert to fraction form
    32,730/71,292.75 = 71,292.75/x
  3. Step 3: Cross multiply
    32,730x = 71,292.75 × 71,292.75
  4. Step 4: Simplify right side
    32,730x = 5,082,656,202.56
  5. Step 5: Solve for x
    x = 5,082,656,202.56/32,730
  6. Step 6: Final answer
    x = 155,290.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.