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Finding the Third Proportional to 1,296.84 and 2,029.22

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Solution

The third proportional to 1,296.84 and 2,029.22 is: 3,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.84 : 2,029.22 = 2,029.22 : x
  2. Step 2: Convert to fraction form
    1,296.84/2,029.22 = 2,029.22/x
  3. Step 3: Cross multiply
    1,296.84x = 2,029.22 × 2,029.22
  4. Step 4: Simplify right side
    1,296.84x = 4,117,728.74
  5. Step 5: Solve for x
    x = 4,117,728.74/1,296.84
  6. Step 6: Final answer
    x = 3,175.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.