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Finding the Third Proportional to 2,113.59 and 4,170.23

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Solution

The third proportional to 2,113.59 and 4,170.23 is: 8,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.59 : 4,170.23 = 4,170.23 : x
  2. Step 2: Convert to fraction form
    2,113.59/4,170.23 = 4,170.23/x
  3. Step 3: Cross multiply
    2,113.59x = 4,170.23 × 4,170.23
  4. Step 4: Simplify right side
    2,113.59x = 17,390,854.74
  5. Step 5: Solve for x
    x = 17,390,854.74/2,113.59
  6. Step 6: Final answer
    x = 8,228.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.