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Finding the Third Proportional to 5,902.24 and 12,842.93

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Solution

The third proportional to 5,902.24 and 12,842.93 is: 27,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.24 : 12,842.93 = 12,842.93 : x
  2. Step 2: Convert to fraction form
    5,902.24/12,842.93 = 12,842.93/x
  3. Step 3: Cross multiply
    5,902.24x = 12,842.93 × 12,842.93
  4. Step 4: Simplify right side
    5,902.24x = 164,940,842.96
  5. Step 5: Solve for x
    x = 164,940,842.96/5,902.24
  6. Step 6: Final answer
    x = 27,945.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.