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Finding the Third Proportional to 2,709.75 and 6,385.88

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Solution

The third proportional to 2,709.75 and 6,385.88 is: 15,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.75 : 6,385.88 = 6,385.88 : x
  2. Step 2: Convert to fraction form
    2,709.75/6,385.88 = 6,385.88/x
  3. Step 3: Cross multiply
    2,709.75x = 6,385.88 × 6,385.88
  4. Step 4: Simplify right side
    2,709.75x = 40,779,399.52
  5. Step 5: Solve for x
    x = 40,779,399.52/2,709.75
  6. Step 6: Final answer
    x = 15,049.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.