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Finding the Third Proportional to 2,295.56 and 2,700.56

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Solution

The third proportional to 2,295.56 and 2,700.56 is: 3,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.56 : 2,700.56 = 2,700.56 : x
  2. Step 2: Convert to fraction form
    2,295.56/2,700.56 = 2,700.56/x
  3. Step 3: Cross multiply
    2,295.56x = 2,700.56 × 2,700.56
  4. Step 4: Simplify right side
    2,295.56x = 7,293,037.82
  5. Step 5: Solve for x
    x = 7,293,037.82/2,295.56
  6. Step 6: Final answer
    x = 3,177.02

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.