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Finding the Third Proportional to 1,177.73 and 1,733.91

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Solution

The third proportional to 1,177.73 and 1,733.91 is: 2,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.73 : 1,733.91 = 1,733.91 : x
  2. Step 2: Convert to fraction form
    1,177.73/1,733.91 = 1,733.91/x
  3. Step 3: Cross multiply
    1,177.73x = 1,733.91 × 1,733.91
  4. Step 4: Simplify right side
    1,177.73x = 3,006,430.88
  5. Step 5: Solve for x
    x = 3,006,430.88/1,177.73
  6. Step 6: Final answer
    x = 2,552.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.