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Finding the Third Proportional to 9,731.39 and 19,869.05

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Solution

The third proportional to 9,731.39 and 19,869.05 is: 40,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.39 : 19,869.05 = 19,869.05 : x
  2. Step 2: Convert to fraction form
    9,731.39/19,869.05 = 19,869.05/x
  3. Step 3: Cross multiply
    9,731.39x = 19,869.05 × 19,869.05
  4. Step 4: Simplify right side
    9,731.39x = 394,779,023.72
  5. Step 5: Solve for x
    x = 394,779,023.72/9,731.39
  6. Step 6: Final answer
    x = 40,567.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.