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Finding the Third Proportional to 1,296.84 and 3,133.27

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Solution

The third proportional to 1,296.84 and 3,133.27 is: 7,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.84 : 3,133.27 = 3,133.27 : x
  2. Step 2: Convert to fraction form
    1,296.84/3,133.27 = 3,133.27/x
  3. Step 3: Cross multiply
    1,296.84x = 3,133.27 × 3,133.27
  4. Step 4: Simplify right side
    1,296.84x = 9,817,353.48
  5. Step 5: Solve for x
    x = 9,817,353.48/1,296.84
  6. Step 6: Final answer
    x = 7,570.19

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.