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Finding the Third Proportional to 3,155.16 and 6,883.41

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Solution

The third proportional to 3,155.16 and 6,883.41 is: 15,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.16 : 6,883.41 = 6,883.41 : x
  2. Step 2: Convert to fraction form
    3,155.16/6,883.41 = 6,883.41/x
  3. Step 3: Cross multiply
    3,155.16x = 6,883.41 × 6,883.41
  4. Step 4: Simplify right side
    3,155.16x = 47,381,281.60
  5. Step 5: Solve for x
    x = 47,381,281.60/3,155.16
  6. Step 6: Final answer
    x = 15,017.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.