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Finding the Third Proportional to 11,284.95 and 17,543.78

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Solution

The third proportional to 11,284.95 and 17,543.78 is: 27,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.95 : 17,543.78 = 17,543.78 : x
  2. Step 2: Convert to fraction form
    11,284.95/17,543.78 = 17,543.78/x
  3. Step 3: Cross multiply
    11,284.95x = 17,543.78 × 17,543.78
  4. Step 4: Simplify right side
    11,284.95x = 307,784,123.49
  5. Step 5: Solve for x
    x = 307,784,123.49/11,284.95
  6. Step 6: Final answer
    x = 27,273.87

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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.