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Finding the Third Proportional to 5,502.30 and 11,901.62

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Solution

The third proportional to 5,502.30 and 11,901.62 is: 25,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.30 : 11,901.62 = 11,901.62 : x
  2. Step 2: Convert to fraction form
    5,502.30/11,901.62 = 11,901.62/x
  3. Step 3: Cross multiply
    5,502.30x = 11,901.62 × 11,901.62
  4. Step 4: Simplify right side
    5,502.30x = 141,648,584.66
  5. Step 5: Solve for x
    x = 141,648,584.66/5,502.30
  6. Step 6: Final answer
    x = 25,743.50

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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.