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Finding the Third Proportional to 11,284.31 and 16,580.95

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Solution

The third proportional to 11,284.31 and 16,580.95 is: 24,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.31 : 16,580.95 = 16,580.95 : x
  2. Step 2: Convert to fraction form
    11,284.31/16,580.95 = 16,580.95/x
  3. Step 3: Cross multiply
    11,284.31x = 16,580.95 × 16,580.95
  4. Step 4: Simplify right side
    11,284.31x = 274,928,006.53
  5. Step 5: Solve for x
    x = 274,928,006.53/11,284.31
  6. Step 6: Final answer
    x = 24,363.74

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Why These Related Problems?

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