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Finding the Third Proportional to 5,834.25 and 7,860.38

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Solution

The third proportional to 5,834.25 and 7,860.38 is: 10,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.25 : 7,860.38 = 7,860.38 : x
  2. Step 2: Convert to fraction form
    5,834.25/7,860.38 = 7,860.38/x
  3. Step 3: Cross multiply
    5,834.25x = 7,860.38 × 7,860.38
  4. Step 4: Simplify right side
    5,834.25x = 61,785,495.14
  5. Step 5: Solve for x
    x = 61,785,495.14/5,834.25
  6. Step 6: Final answer
    x = 10,590.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.