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Finding the Third Proportional to 5,700.75 and 9,105.56

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Solution

The third proportional to 5,700.75 and 9,105.56 is: 14,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.75 : 9,105.56 = 9,105.56 : x
  2. Step 2: Convert to fraction form
    5,700.75/9,105.56 = 9,105.56/x
  3. Step 3: Cross multiply
    5,700.75x = 9,105.56 × 9,105.56
  4. Step 4: Simplify right side
    5,700.75x = 82,911,268.44
  5. Step 5: Solve for x
    x = 82,911,268.44/5,700.75
  6. Step 6: Final answer
    x = 14,543.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.