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Finding the Third Proportional to 8,088.50 and 17,149.50

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Solution

The third proportional to 8,088.50 and 17,149.50 is: 36,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088.50 : 17,149.50 = 17,149.50 : x
  2. Step 2: Convert to fraction form
    8,088.50/17,149.50 = 17,149.50/x
  3. Step 3: Cross multiply
    8,088.50x = 17,149.50 × 17,149.50
  4. Step 4: Simplify right side
    8,088.50x = 294,105,350.25
  5. Step 5: Solve for x
    x = 294,105,350.25/8,088.50
  6. Step 6: Final answer
    x = 36,360.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.