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Finding the Third Proportional to 41,672.60 and 64,465.24

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Solution

The third proportional to 41,672.60 and 64,465.24 is: 99,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,672.60 : 64,465.24 = 64,465.24 : x
  2. Step 2: Convert to fraction form
    41,672.60/64,465.24 = 64,465.24/x
  3. Step 3: Cross multiply
    41,672.60x = 64,465.24 × 64,465.24
  4. Step 4: Simplify right side
    41,672.60x = 4,155,767,450.29
  5. Step 5: Solve for x
    x = 4,155,767,450.29/41,672.60
  6. Step 6: Final answer
    x = 99,724.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.