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Finding the Third Proportional to 15,380.88 and 32,894.38

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Solution

The third proportional to 15,380.88 and 32,894.38 is: 70,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.88 : 32,894.38 = 32,894.38 : x
  2. Step 2: Convert to fraction form
    15,380.88/32,894.38 = 32,894.38/x
  3. Step 3: Cross multiply
    15,380.88x = 32,894.38 × 32,894.38
  4. Step 4: Simplify right side
    15,380.88x = 1,082,039,906.64
  5. Step 5: Solve for x
    x = 1,082,039,906.64/15,380.88
  6. Step 6: Final answer
    x = 70,349.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.