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Finding the Third Proportional to 41,708 and 64,695

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Solution

The third proportional to 41,708 and 64,695 is: 100,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,708 : 64,695 = 64,695 : x
  2. Step 2: Convert to fraction form
    41,708/64,695 = 64,695/x
  3. Step 3: Cross multiply
    41,708x = 64,695 × 64,695
  4. Step 4: Simplify right side
    41,708x = 4,185,443,025
  5. Step 5: Solve for x
    x = 4,185,443,025/41,708
  6. Step 6: Final answer
    x = 100,351.08

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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.