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Finding the Third Proportional to 11,508.75 and 17,506.13

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Solution

The third proportional to 11,508.75 and 17,506.13 is: 26,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.75 : 17,506.13 = 17,506.13 : x
  2. Step 2: Convert to fraction form
    11,508.75/17,506.13 = 17,506.13/x
  3. Step 3: Cross multiply
    11,508.75x = 17,506.13 × 17,506.13
  4. Step 4: Simplify right side
    11,508.75x = 306,464,412.52
  5. Step 5: Solve for x
    x = 306,464,412.52/11,508.75
  6. Step 6: Final answer
    x = 26,628.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.