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Finding the Third Proportional to 2,311.88 and 3,545.44

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Solution

The third proportional to 2,311.88 and 3,545.44 is: 5,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.88 : 3,545.44 = 3,545.44 : x
  2. Step 2: Convert to fraction form
    2,311.88/3,545.44 = 3,545.44/x
  3. Step 3: Cross multiply
    2,311.88x = 3,545.44 × 3,545.44
  4. Step 4: Simplify right side
    2,311.88x = 12,570,127.07
  5. Step 5: Solve for x
    x = 12,570,127.07/2,311.88
  6. Step 6: Final answer
    x = 5,437.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.