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Finding the Third Proportional to 41,716.13 and 64,599.19

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Solution

The third proportional to 41,716.13 and 64,599.19 is: 100,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,716.13 : 64,599.19 = 64,599.19 : x
  2. Step 2: Convert to fraction form
    41,716.13/64,599.19 = 64,599.19/x
  3. Step 3: Cross multiply
    41,716.13x = 64,599.19 × 64,599.19
  4. Step 4: Simplify right side
    41,716.13x = 4,173,055,025.66
  5. Step 5: Solve for x
    x = 4,173,055,025.66/41,716.13
  6. Step 6: Final answer
    x = 100,034.58

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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.