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Finding the Third Proportional to 2,061.82 and 4,862.30

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Solution

The third proportional to 2,061.82 and 4,862.30 is: 11,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.82 : 4,862.30 = 4,862.30 : x
  2. Step 2: Convert to fraction form
    2,061.82/4,862.30 = 4,862.30/x
  3. Step 3: Cross multiply
    2,061.82x = 4,862.30 × 4,862.30
  4. Step 4: Simplify right side
    2,061.82x = 23,641,930.90
  5. Step 5: Solve for x
    x = 23,641,930.90/2,061.82
  6. Step 6: Final answer
    x = 11,466.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.