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Finding the Third Proportional to 1,297.13 and 2,011.78

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Solution

The third proportional to 1,297.13 and 2,011.78 is: 3,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.13 : 2,011.78 = 2,011.78 : x
  2. Step 2: Convert to fraction form
    1,297.13/2,011.78 = 2,011.78/x
  3. Step 3: Cross multiply
    1,297.13x = 2,011.78 × 2,011.78
  4. Step 4: Simplify right side
    1,297.13x = 4,047,263.80
  5. Step 5: Solve for x
    x = 4,047,263.80/1,297.13
  6. Step 6: Final answer
    x = 3,120.18

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