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Finding the Third Proportional to 25,194.75 and 39,323.63

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Solution

The third proportional to 25,194.75 and 39,323.63 is: 61,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.75 : 39,323.63 = 39,323.63 : x
  2. Step 2: Convert to fraction form
    25,194.75/39,323.63 = 39,323.63/x
  3. Step 3: Cross multiply
    25,194.75x = 39,323.63 × 39,323.63
  4. Step 4: Simplify right side
    25,194.75x = 1,546,347,483.14
  5. Step 5: Solve for x
    x = 1,546,347,483.14/25,194.75
  6. Step 6: Final answer
    x = 61,375.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.