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Finding the Third Proportional to 1,168.59 and 1,849.92

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Solution

The third proportional to 1,168.59 and 1,849.92 is: 2,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.59 : 1,849.92 = 1,849.92 : x
  2. Step 2: Convert to fraction form
    1,168.59/1,849.92 = 1,849.92/x
  3. Step 3: Cross multiply
    1,168.59x = 1,849.92 × 1,849.92
  4. Step 4: Simplify right side
    1,168.59x = 3,422,210.94
  5. Step 5: Solve for x
    x = 3,422,210.94/1,168.59
  6. Step 6: Final answer
    x = 2,928.49

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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.