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Finding the Third Proportional to 12,208.38 and 25,916.52

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Solution

The third proportional to 12,208.38 and 25,916.52 is: 55,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.38 : 25,916.52 = 25,916.52 : x
  2. Step 2: Convert to fraction form
    12,208.38/25,916.52 = 25,916.52/x
  3. Step 3: Cross multiply
    12,208.38x = 25,916.52 × 25,916.52
  4. Step 4: Simplify right side
    12,208.38x = 671,665,984.61
  5. Step 5: Solve for x
    x = 671,665,984.61/12,208.38
  6. Step 6: Final answer
    x = 55,016.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.