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Finding the Third Proportional to 1,144.09 and 2,510.94

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Solution

The third proportional to 1,144.09 and 2,510.94 is: 5,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.09 : 2,510.94 = 2,510.94 : x
  2. Step 2: Convert to fraction form
    1,144.09/2,510.94 = 2,510.94/x
  3. Step 3: Cross multiply
    1,144.09x = 2,510.94 × 2,510.94
  4. Step 4: Simplify right side
    1,144.09x = 6,304,807.13
  5. Step 5: Solve for x
    x = 6,304,807.13/1,144.09
  6. Step 6: Final answer
    x = 5,510.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.