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Finding the Third Proportional to 41,527.13 and 64,423.69

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Solution

The third proportional to 41,527.13 and 64,423.69 is: 99,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,527.13 : 64,423.69 = 64,423.69 : x
  2. Step 2: Convert to fraction form
    41,527.13/64,423.69 = 64,423.69/x
  3. Step 3: Cross multiply
    41,527.13x = 64,423.69 × 64,423.69
  4. Step 4: Simplify right side
    41,527.13x = 4,150,411,511.10
  5. Step 5: Solve for x
    x = 4,150,411,511.10/41,527.13
  6. Step 6: Final answer
    x = 99,944.59

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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.