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Finding the Third Proportional to 25,894.69 and 39,986.79

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Solution

The third proportional to 25,894.69 and 39,986.79 is: 61,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.69 : 39,986.79 = 39,986.79 : x
  2. Step 2: Convert to fraction form
    25,894.69/39,986.79 = 39,986.79/x
  3. Step 3: Cross multiply
    25,894.69x = 39,986.79 × 39,986.79
  4. Step 4: Simplify right side
    25,894.69x = 1,598,943,299.53
  5. Step 5: Solve for x
    x = 1,598,943,299.53/25,894.69
  6. Step 6: Final answer
    x = 61,747.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.