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Finding the Third Proportional to 8,325 and 17,728.88

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Solution

The third proportional to 8,325 and 17,728.88 is: 37,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325 : 17,728.88 = 17,728.88 : x
  2. Step 2: Convert to fraction form
    8,325/17,728.88 = 17,728.88/x
  3. Step 3: Cross multiply
    8,325x = 17,728.88 × 17,728.88
  4. Step 4: Simplify right side
    8,325x = 314,313,008.77
  5. Step 5: Solve for x
    x = 314,313,008.77/8,325
  6. Step 6: Final answer
    x = 37,755.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.