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Finding the Third Proportional to 11,280.19 and 16,535.53

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Solution

The third proportional to 11,280.19 and 16,535.53 is: 24,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.19 : 16,535.53 = 16,535.53 : x
  2. Step 2: Convert to fraction form
    11,280.19/16,535.53 = 16,535.53/x
  3. Step 3: Cross multiply
    11,280.19x = 16,535.53 × 16,535.53
  4. Step 4: Simplify right side
    11,280.19x = 273,423,793.72
  5. Step 5: Solve for x
    x = 273,423,793.72/11,280.19
  6. Step 6: Final answer
    x = 24,239.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.