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Finding the Third Proportional to 11,560 and 16,519

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Solution

The third proportional to 11,560 and 16,519 is: 23,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560 : 16,519 = 16,519 : x
  2. Step 2: Convert to fraction form
    11,560/16,519 = 16,519/x
  3. Step 3: Cross multiply
    11,560x = 16,519 × 16,519
  4. Step 4: Simplify right side
    11,560x = 272,877,361
  5. Step 5: Solve for x
    x = 272,877,361/11,560
  6. Step 6: Final answer
    x = 23,605.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.