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Finding the Third Proportional to 11,799 and 13,527

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Solution

The third proportional to 11,799 and 13,527 is: 15,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799 : 13,527 = 13,527 : x
  2. Step 2: Convert to fraction form
    11,799/13,527 = 13,527/x
  3. Step 3: Cross multiply
    11,799x = 13,527 × 13,527
  4. Step 4: Simplify right side
    11,799x = 182,979,729
  5. Step 5: Solve for x
    x = 182,979,729/11,799
  6. Step 6: Final answer
    x = 15,508.07

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.