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Finding the Third Proportional to 993.94 and 1,545.66

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Solution

The third proportional to 993.94 and 1,545.66 is: 2,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.94 : 1,545.66 = 1,545.66 : x
  2. Step 2: Convert to fraction form
    993.94/1,545.66 = 1,545.66/x
  3. Step 3: Cross multiply
    993.94x = 1,545.66 × 1,545.66
  4. Step 4: Simplify right side
    993.94x = 2,389,053.24
  5. Step 5: Solve for x
    x = 2,389,053.24/993.94
  6. Step 6: Final answer
    x = 2,403.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.