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Finding the Third Proportional to 5,205.38 and 11,381.63

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Solution

The third proportional to 5,205.38 and 11,381.63 is: 24,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.38 : 11,381.63 = 11,381.63 : x
  2. Step 2: Convert to fraction form
    5,205.38/11,381.63 = 11,381.63/x
  3. Step 3: Cross multiply
    5,205.38x = 11,381.63 × 11,381.63
  4. Step 4: Simplify right side
    5,205.38x = 129,541,387.64
  5. Step 5: Solve for x
    x = 129,541,387.64/5,205.38
  6. Step 6: Final answer
    x = 24,886.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.