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Finding the Third Proportional to 25,870 and 39,556.75

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Solution

The third proportional to 25,870 and 39,556.75 is: 60,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870 : 39,556.75 = 39,556.75 : x
  2. Step 2: Convert to fraction form
    25,870/39,556.75 = 39,556.75/x
  3. Step 3: Cross multiply
    25,870x = 39,556.75 × 39,556.75
  4. Step 4: Simplify right side
    25,870x = 1,564,736,470.56
  5. Step 5: Solve for x
    x = 1,564,736,470.56/25,870
  6. Step 6: Final answer
    x = 60,484.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.