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Finding the Third Proportional to 1,133.92 and 1,717.93

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Solution

The third proportional to 1,133.92 and 1,717.93 is: 2,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.92 : 1,717.93 = 1,717.93 : x
  2. Step 2: Convert to fraction form
    1,133.92/1,717.93 = 1,717.93/x
  3. Step 3: Cross multiply
    1,133.92x = 1,717.93 × 1,717.93
  4. Step 4: Simplify right side
    1,133.92x = 2,951,275.70
  5. Step 5: Solve for x
    x = 2,951,275.70/1,133.92
  6. Step 6: Final answer
    x = 2,602.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.