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Finding the Third Proportional to 11,582 and 16,441

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Solution

The third proportional to 11,582 and 16,441 is: 23,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582 : 16,441 = 16,441 : x
  2. Step 2: Convert to fraction form
    11,582/16,441 = 16,441/x
  3. Step 3: Cross multiply
    11,582x = 16,441 × 16,441
  4. Step 4: Simplify right side
    11,582x = 270,306,481
  5. Step 5: Solve for x
    x = 270,306,481/11,582
  6. Step 6: Final answer
    x = 23,338.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.