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Finding the Third Proportional to 32,941.13 and 72,442.13

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Solution

The third proportional to 32,941.13 and 72,442.13 is: 159,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.13 : 72,442.13 = 72,442.13 : x
  2. Step 2: Convert to fraction form
    32,941.13/72,442.13 = 72,442.13/x
  3. Step 3: Cross multiply
    32,941.13x = 72,442.13 × 72,442.13
  4. Step 4: Simplify right side
    32,941.13x = 5,247,861,474.52
  5. Step 5: Solve for x
    x = 5,247,861,474.52/32,941.13
  6. Step 6: Final answer
    x = 159,310.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.