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Finding the Third Proportional to 6,025.50 and 6,545.25

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Solution

The third proportional to 6,025.50 and 6,545.25 is: 7,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.50 : 6,545.25 = 6,545.25 : x
  2. Step 2: Convert to fraction form
    6,025.50/6,545.25 = 6,545.25/x
  3. Step 3: Cross multiply
    6,025.50x = 6,545.25 × 6,545.25
  4. Step 4: Simplify right side
    6,025.50x = 42,840,297.56
  5. Step 5: Solve for x
    x = 42,840,297.56/6,025.50
  6. Step 6: Final answer
    x = 7,109.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.