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Finding the Third Proportional to 2,275.59 and 3,195.70

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Solution

The third proportional to 2,275.59 and 3,195.70 is: 4,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.59 : 3,195.70 = 3,195.70 : x
  2. Step 2: Convert to fraction form
    2,275.59/3,195.70 = 3,195.70/x
  3. Step 3: Cross multiply
    2,275.59x = 3,195.70 × 3,195.70
  4. Step 4: Simplify right side
    2,275.59x = 10,212,518.46
  5. Step 5: Solve for x
    x = 10,212,518.46/2,275.59
  6. Step 6: Final answer
    x = 4,487.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.