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Finding the Third Proportional to 7,750.69 and 8,545.50

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Solution

The third proportional to 7,750.69 and 8,545.50 is: 9,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.69 : 8,545.50 = 8,545.50 : x
  2. Step 2: Convert to fraction form
    7,750.69/8,545.50 = 8,545.50/x
  3. Step 3: Cross multiply
    7,750.69x = 8,545.50 × 8,545.50
  4. Step 4: Simplify right side
    7,750.69x = 73,025,570.25
  5. Step 5: Solve for x
    x = 73,025,570.25/7,750.69
  6. Step 6: Final answer
    x = 9,421.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.