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Finding the Third Proportional to 2,708.12 and 4,297.11

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Solution

The third proportional to 2,708.12 and 4,297.11 is: 6,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.12 : 4,297.11 = 4,297.11 : x
  2. Step 2: Convert to fraction form
    2,708.12/4,297.11 = 4,297.11/x
  3. Step 3: Cross multiply
    2,708.12x = 4,297.11 × 4,297.11
  4. Step 4: Simplify right side
    2,708.12x = 18,465,182.55
  5. Step 5: Solve for x
    x = 18,465,182.55/2,708.12
  6. Step 6: Final answer
    x = 6,818.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.