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Finding the Third Proportional to 4,600.13 and 6,880.78

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Solution

The third proportional to 4,600.13 and 6,880.78 is: 10,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.13 : 6,880.78 = 6,880.78 : x
  2. Step 2: Convert to fraction form
    4,600.13/6,880.78 = 6,880.78/x
  3. Step 3: Cross multiply
    4,600.13x = 6,880.78 × 6,880.78
  4. Step 4: Simplify right side
    4,600.13x = 47,345,150.61
  5. Step 5: Solve for x
    x = 47,345,150.61/4,600.13
  6. Step 6: Final answer
    x = 10,292.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.