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Finding the Third Proportional to 41,509.13 and 64,099.69

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Solution

The third proportional to 41,509.13 and 64,099.69 is: 98,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.13 : 64,099.69 = 64,099.69 : x
  2. Step 2: Convert to fraction form
    41,509.13/64,099.69 = 64,099.69/x
  3. Step 3: Cross multiply
    41,509.13x = 64,099.69 × 64,099.69
  4. Step 4: Simplify right side
    41,509.13x = 4,108,769,937.60
  5. Step 5: Solve for x
    x = 4,108,769,937.60/41,509.13
  6. Step 6: Final answer
    x = 98,984.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.