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Finding the Third Proportional to 11,508.75 and 13,505.06

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Solution

The third proportional to 11,508.75 and 13,505.06 is: 15,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.75 : 13,505.06 = 13,505.06 : x
  2. Step 2: Convert to fraction form
    11,508.75/13,505.06 = 13,505.06/x
  3. Step 3: Cross multiply
    11,508.75x = 13,505.06 × 13,505.06
  4. Step 4: Simplify right side
    11,508.75x = 182,386,713.13
  5. Step 5: Solve for x
    x = 182,386,713.13/11,508.75
  6. Step 6: Final answer
    x = 15,847.66

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.