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Finding the Third Proportional to 41,590.13 and 63,991.69

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Solution

The third proportional to 41,590.13 and 63,991.69 is: 98,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,590.13 : 63,991.69 = 63,991.69 : x
  2. Step 2: Convert to fraction form
    41,590.13/63,991.69 = 63,991.69/x
  3. Step 3: Cross multiply
    41,590.13x = 63,991.69 × 63,991.69
  4. Step 4: Simplify right side
    41,590.13x = 4,094,936,069.10
  5. Step 5: Solve for x
    x = 4,094,936,069.10/41,590.13
  6. Step 6: Final answer
    x = 98,459.34

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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.