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Finding the Third Proportional to 5,291.89 and 11,567.65

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Solution

The third proportional to 5,291.89 and 11,567.65 is: 25,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.89 : 11,567.65 = 11,567.65 : x
  2. Step 2: Convert to fraction form
    5,291.89/11,567.65 = 11,567.65/x
  3. Step 3: Cross multiply
    5,291.89x = 11,567.65 × 11,567.65
  4. Step 4: Simplify right side
    5,291.89x = 133,810,625.93
  5. Step 5: Solve for x
    x = 133,810,625.93/5,291.89
  6. Step 6: Final answer
    x = 25,285.96

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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.