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Finding the Third Proportional to 41,410.13 and 64,239.75

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Solution

The third proportional to 41,410.13 and 64,239.75 is: 99,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,410.13 : 64,239.75 = 64,239.75 : x
  2. Step 2: Convert to fraction form
    41,410.13/64,239.75 = 64,239.75/x
  3. Step 3: Cross multiply
    41,410.13x = 64,239.75 × 64,239.75
  4. Step 4: Simplify right side
    41,410.13x = 4,126,745,480.06
  5. Step 5: Solve for x
    x = 4,126,745,480.06/41,410.13
  6. Step 6: Final answer
    x = 99,655.47

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Why These Related Problems?

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