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Finding the Third Proportional to 10,909.69 and 26,241.47

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Solution

The third proportional to 10,909.69 and 26,241.47 is: 63,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 26,241.47 = 26,241.47 : x
  2. Step 2: Convert to fraction form
    10,909.69/26,241.47 = 26,241.47/x
  3. Step 3: Cross multiply
    10,909.69x = 26,241.47 × 26,241.47
  4. Step 4: Simplify right side
    10,909.69x = 688,614,682.16
  5. Step 5: Solve for x
    x = 688,614,682.16/10,909.69
  6. Step 6: Final answer
    x = 63,119.56

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.