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Finding the Third Proportional to 5,253.75 and 8,134.88

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Solution

The third proportional to 5,253.75 and 8,134.88 is: 12,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.75 : 8,134.88 = 8,134.88 : x
  2. Step 2: Convert to fraction form
    5,253.75/8,134.88 = 8,134.88/x
  3. Step 3: Cross multiply
    5,253.75x = 8,134.88 × 8,134.88
  4. Step 4: Simplify right side
    5,253.75x = 66,176,191.27
  5. Step 5: Solve for x
    x = 66,176,191.27/5,253.75
  6. Step 6: Final answer
    x = 12,595.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.