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Finding the Third Proportional to 1,296.63 and 2,053.16

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Solution

The third proportional to 1,296.63 and 2,053.16 is: 3,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.63 : 2,053.16 = 2,053.16 : x
  2. Step 2: Convert to fraction form
    1,296.63/2,053.16 = 2,053.16/x
  3. Step 3: Cross multiply
    1,296.63x = 2,053.16 × 2,053.16
  4. Step 4: Simplify right side
    1,296.63x = 4,215,466.63
  5. Step 5: Solve for x
    x = 4,215,466.63/1,296.63
  6. Step 6: Final answer
    x = 3,251.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.