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Finding the Third Proportional to 12,072.38 and 25,246.13

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Solution

The third proportional to 12,072.38 and 25,246.13 is: 52,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.38 : 25,246.13 = 25,246.13 : x
  2. Step 2: Convert to fraction form
    12,072.38/25,246.13 = 25,246.13/x
  3. Step 3: Cross multiply
    12,072.38x = 25,246.13 × 25,246.13
  4. Step 4: Simplify right side
    12,072.38x = 637,366,827.52
  5. Step 5: Solve for x
    x = 637,366,827.52/12,072.38
  6. Step 6: Final answer
    x = 52,795.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.