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Finding the Third Proportional to 11,280.52 and 17,877.59

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Solution

The third proportional to 11,280.52 and 17,877.59 is: 28,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.52 : 17,877.59 = 17,877.59 : x
  2. Step 2: Convert to fraction form
    11,280.52/17,877.59 = 17,877.59/x
  3. Step 3: Cross multiply
    11,280.52x = 17,877.59 × 17,877.59
  4. Step 4: Simplify right side
    11,280.52x = 319,608,078.95
  5. Step 5: Solve for x
    x = 319,608,078.95/11,280.52
  6. Step 6: Final answer
    x = 28,332.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.