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Finding the Third Proportional to 41,618.25 and 64,037.25

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Solution

The third proportional to 41,618.25 and 64,037.25 is: 98,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,618.25 : 64,037.25 = 64,037.25 : x
  2. Step 2: Convert to fraction form
    41,618.25/64,037.25 = 64,037.25/x
  3. Step 3: Cross multiply
    41,618.25x = 64,037.25 × 64,037.25
  4. Step 4: Simplify right side
    41,618.25x = 4,100,769,387.56
  5. Step 5: Solve for x
    x = 4,100,769,387.56/41,618.25
  6. Step 6: Final answer
    x = 98,532.96

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Why These Related Problems?

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