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Finding the Third Proportional to 2,012.63 and 2,296.13

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Solution

The third proportional to 2,012.63 and 2,296.13 is: 2,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.63 : 2,296.13 = 2,296.13 : x
  2. Step 2: Convert to fraction form
    2,012.63/2,296.13 = 2,296.13/x
  3. Step 3: Cross multiply
    2,012.63x = 2,296.13 × 2,296.13
  4. Step 4: Simplify right side
    2,012.63x = 5,272,190.02
  5. Step 5: Solve for x
    x = 5,272,190.02/2,012.63
  6. Step 6: Final answer
    x = 2,619.56

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.