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Finding the Third Proportional to 10,180.69 and 24,117.75

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Solution

The third proportional to 10,180.69 and 24,117.75 is: 57,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.69 : 24,117.75 = 24,117.75 : x
  2. Step 2: Convert to fraction form
    10,180.69/24,117.75 = 24,117.75/x
  3. Step 3: Cross multiply
    10,180.69x = 24,117.75 × 24,117.75
  4. Step 4: Simplify right side
    10,180.69x = 581,665,865.06
  5. Step 5: Solve for x
    x = 581,665,865.06/10,180.69
  6. Step 6: Final answer
    x = 57,134.24

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.