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Finding the Third Proportional to 1,193.81 and 2,618.06

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Solution

The third proportional to 1,193.81 and 2,618.06 is: 5,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.81 : 2,618.06 = 2,618.06 : x
  2. Step 2: Convert to fraction form
    1,193.81/2,618.06 = 2,618.06/x
  3. Step 3: Cross multiply
    1,193.81x = 2,618.06 × 2,618.06
  4. Step 4: Simplify right side
    1,193.81x = 6,854,251.25
  5. Step 5: Solve for x
    x = 6,854,251.25/1,193.81
  6. Step 6: Final answer
    x = 5,741.48

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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.