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Finding the Third Proportional to 9,747.84 and 15,697.55

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Solution

The third proportional to 9,747.84 and 15,697.55 is: 25,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.84 : 15,697.55 = 15,697.55 : x
  2. Step 2: Convert to fraction form
    9,747.84/15,697.55 = 15,697.55/x
  3. Step 3: Cross multiply
    9,747.84x = 15,697.55 × 15,697.55
  4. Step 4: Simplify right side
    9,747.84x = 246,412,977.89
  5. Step 5: Solve for x
    x = 246,412,977.89/9,747.84
  6. Step 6: Final answer
    x = 25,278.72

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.