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Finding the Third Proportional to 11,665.13 and 13,366.13

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Solution

The third proportional to 11,665.13 and 13,366.13 is: 15,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.13 : 13,366.13 = 13,366.13 : x
  2. Step 2: Convert to fraction form
    11,665.13/13,366.13 = 13,366.13/x
  3. Step 3: Cross multiply
    11,665.13x = 13,366.13 × 13,366.13
  4. Step 4: Simplify right side
    11,665.13x = 178,653,297.52
  5. Step 5: Solve for x
    x = 178,653,297.52/11,665.13
  6. Step 6: Final answer
    x = 15,315.16

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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.