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Finding the Third Proportional to 1,161.84 and 1,823.77

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Solution

The third proportional to 1,161.84 and 1,823.77 is: 2,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.84 : 1,823.77 = 1,823.77 : x
  2. Step 2: Convert to fraction form
    1,161.84/1,823.77 = 1,823.77/x
  3. Step 3: Cross multiply
    1,161.84x = 1,823.77 × 1,823.77
  4. Step 4: Simplify right side
    1,161.84x = 3,326,121.05
  5. Step 5: Solve for x
    x = 3,326,121.05/1,161.84
  6. Step 6: Final answer
    x = 2,862.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.