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Finding the Third Proportional to 3,865.69 and 5,894.65

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Solution

The third proportional to 3,865.69 and 5,894.65 is: 8,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.69 : 5,894.65 = 5,894.65 : x
  2. Step 2: Convert to fraction form
    3,865.69/5,894.65 = 5,894.65/x
  3. Step 3: Cross multiply
    3,865.69x = 5,894.65 × 5,894.65
  4. Step 4: Simplify right side
    3,865.69x = 34,746,880.20
  5. Step 5: Solve for x
    x = 34,746,880.20/3,865.69
  6. Step 6: Final answer
    x = 8,988.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.