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Finding the Third Proportional to 11,750.06 and 17,617.50

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Solution

The third proportional to 11,750.06 and 17,617.50 is: 26,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.06 : 17,617.50 = 17,617.50 : x
  2. Step 2: Convert to fraction form
    11,750.06/17,617.50 = 17,617.50/x
  3. Step 3: Cross multiply
    11,750.06x = 17,617.50 × 17,617.50
  4. Step 4: Simplify right side
    11,750.06x = 310,376,306.25
  5. Step 5: Solve for x
    x = 310,376,306.25/11,750.06
  6. Step 6: Final answer
    x = 26,414.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.