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Finding the Third Proportional to 8,152.50 and 17,867.75

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Solution

The third proportional to 8,152.50 and 17,867.75 is: 39,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.50 : 17,867.75 = 17,867.75 : x
  2. Step 2: Convert to fraction form
    8,152.50/17,867.75 = 17,867.75/x
  3. Step 3: Cross multiply
    8,152.50x = 17,867.75 × 17,867.75
  4. Step 4: Simplify right side
    8,152.50x = 319,256,490.06
  5. Step 5: Solve for x
    x = 319,256,490.06/8,152.50
  6. Step 6: Final answer
    x = 39,160.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.