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Finding the Third Proportional to 1,833.13 and 4,322.88

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Solution

The third proportional to 1,833.13 and 4,322.88 is: 10,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.13 : 4,322.88 = 4,322.88 : x
  2. Step 2: Convert to fraction form
    1,833.13/4,322.88 = 4,322.88/x
  3. Step 3: Cross multiply
    1,833.13x = 4,322.88 × 4,322.88
  4. Step 4: Simplify right side
    1,833.13x = 18,687,248.27
  5. Step 5: Solve for x
    x = 18,687,248.27/1,833.13
  6. Step 6: Final answer
    x = 10,194.20

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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.