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Finding the Third Proportional to 11,836.13 and 25,854.19

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Solution

The third proportional to 11,836.13 and 25,854.19 is: 56,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.13 : 25,854.19 = 25,854.19 : x
  2. Step 2: Convert to fraction form
    11,836.13/25,854.19 = 25,854.19/x
  3. Step 3: Cross multiply
    11,836.13x = 25,854.19 × 25,854.19
  4. Step 4: Simplify right side
    11,836.13x = 668,439,011.29
  5. Step 5: Solve for x
    x = 668,439,011.29/11,836.13
  6. Step 6: Final answer
    x = 56,474.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.