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Finding the Third Proportional to 2,015.16 and 3,113.86

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Solution

The third proportional to 2,015.16 and 3,113.86 is: 4,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.16 : 3,113.86 = 3,113.86 : x
  2. Step 2: Convert to fraction form
    2,015.16/3,113.86 = 3,113.86/x
  3. Step 3: Cross multiply
    2,015.16x = 3,113.86 × 3,113.86
  4. Step 4: Simplify right side
    2,015.16x = 9,696,120.21
  5. Step 5: Solve for x
    x = 9,696,120.21/2,015.16
  6. Step 6: Final answer
    x = 4,811.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.