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Finding the Third Proportional to 12,117.94 and 25,273.69

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Solution

The third proportional to 12,117.94 and 25,273.69 is: 52,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.94 : 25,273.69 = 25,273.69 : x
  2. Step 2: Convert to fraction form
    12,117.94/25,273.69 = 25,273.69/x
  3. Step 3: Cross multiply
    12,117.94x = 25,273.69 × 25,273.69
  4. Step 4: Simplify right side
    12,117.94x = 638,759,279.85
  5. Step 5: Solve for x
    x = 638,759,279.85/12,117.94
  6. Step 6: Final answer
    x = 52,711.88

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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.