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Finding the Third Proportional to 12,358.50 and 25,741

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Solution

The third proportional to 12,358.50 and 25,741 is: 53,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.50 : 25,741 = 25,741 : x
  2. Step 2: Convert to fraction form
    12,358.50/25,741 = 25,741/x
  3. Step 3: Cross multiply
    12,358.50x = 25,741 × 25,741
  4. Step 4: Simplify right side
    12,358.50x = 662,599,081
  5. Step 5: Solve for x
    x = 662,599,081/12,358.50
  6. Step 6: Final answer
    x = 53,614.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.