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Finding the Third Proportional to 2,366.40 and 3,160.90

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Solution

The third proportional to 2,366.40 and 3,160.90 is: 4,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.40 : 3,160.90 = 3,160.90 : x
  2. Step 2: Convert to fraction form
    2,366.40/3,160.90 = 3,160.90/x
  3. Step 3: Cross multiply
    2,366.40x = 3,160.90 × 3,160.90
  4. Step 4: Simplify right side
    2,366.40x = 9,991,278.93
  5. Step 5: Solve for x
    x = 9,991,278.93/2,366.40
  6. Step 6: Final answer
    x = 4,222.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.