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Finding the Third Proportional to 2,011.25 and 3,545.50

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Solution

The third proportional to 2,011.25 and 3,545.50 is: 6,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.25 : 3,545.50 = 3,545.50 : x
  2. Step 2: Convert to fraction form
    2,011.25/3,545.50 = 3,545.50/x
  3. Step 3: Cross multiply
    2,011.25x = 3,545.50 × 3,545.50
  4. Step 4: Simplify right side
    2,011.25x = 12,570,570.25
  5. Step 5: Solve for x
    x = 12,570,570.25/2,011.25
  6. Step 6: Final answer
    x = 6,250.13

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.