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Finding the Third Proportional to 9,565.31 and 20,667.66

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Solution

The third proportional to 9,565.31 and 20,667.66 is: 44,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.31 : 20,667.66 = 20,667.66 : x
  2. Step 2: Convert to fraction form
    9,565.31/20,667.66 = 20,667.66/x
  3. Step 3: Cross multiply
    9,565.31x = 20,667.66 × 20,667.66
  4. Step 4: Simplify right side
    9,565.31x = 427,152,014.87
  5. Step 5: Solve for x
    x = 427,152,014.87/9,565.31
  6. Step 6: Final answer
    x = 44,656.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.