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Finding the Third Proportional to 41,820.68 and 64,778.48

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Solution

The third proportional to 41,820.68 and 64,778.48 is: 100,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,820.68 : 64,778.48 = 64,778.48 : x
  2. Step 2: Convert to fraction form
    41,820.68/64,778.48 = 64,778.48/x
  3. Step 3: Cross multiply
    41,820.68x = 64,778.48 × 64,778.48
  4. Step 4: Simplify right side
    41,820.68x = 4,196,252,037.92
  5. Step 5: Solve for x
    x = 4,196,252,037.92/41,820.68
  6. Step 6: Final answer
    x = 100,339.16

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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.