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Finding the Third Proportional to 1,998.84 and 4,726.69

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Solution

The third proportional to 1,998.84 and 4,726.69 is: 11,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.84 : 4,726.69 = 4,726.69 : x
  2. Step 2: Convert to fraction form
    1,998.84/4,726.69 = 4,726.69/x
  3. Step 3: Cross multiply
    1,998.84x = 4,726.69 × 4,726.69
  4. Step 4: Simplify right side
    1,998.84x = 22,341,574.72
  5. Step 5: Solve for x
    x = 22,341,574.72/1,998.84
  6. Step 6: Final answer
    x = 11,177.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.