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Finding the Third Proportional to 32,572.13 and 71,378.44

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Solution

The third proportional to 32,572.13 and 71,378.44 is: 156,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,572.13 : 71,378.44 = 71,378.44 : x
  2. Step 2: Convert to fraction form
    32,572.13/71,378.44 = 71,378.44/x
  3. Step 3: Cross multiply
    32,572.13x = 71,378.44 × 71,378.44
  4. Step 4: Simplify right side
    32,572.13x = 5,094,881,339.94
  5. Step 5: Solve for x
    x = 5,094,881,339.94/32,572.13
  6. Step 6: Final answer
    x = 156,418.45

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