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Finding the Third Proportional to 5,222.81 and 7,095.94

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Solution

The third proportional to 5,222.81 and 7,095.94 is: 9,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.81 : 7,095.94 = 7,095.94 : x
  2. Step 2: Convert to fraction form
    5,222.81/7,095.94 = 7,095.94/x
  3. Step 3: Cross multiply
    5,222.81x = 7,095.94 × 7,095.94
  4. Step 4: Simplify right side
    5,222.81x = 50,352,329.00
  5. Step 5: Solve for x
    x = 50,352,329.00/5,222.81
  6. Step 6: Final answer
    x = 9,640.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.