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Finding the Third Proportional to 2,342.81 and 5,032.97

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Solution

The third proportional to 2,342.81 and 5,032.97 is: 10,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.81 : 5,032.97 = 5,032.97 : x
  2. Step 2: Convert to fraction form
    2,342.81/5,032.97 = 5,032.97/x
  3. Step 3: Cross multiply
    2,342.81x = 5,032.97 × 5,032.97
  4. Step 4: Simplify right side
    2,342.81x = 25,330,774.44
  5. Step 5: Solve for x
    x = 25,330,774.44/2,342.81
  6. Step 6: Final answer
    x = 10,812.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.