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Finding the Third Proportional to 25,116.75 and 39,193.25

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Solution

The third proportional to 25,116.75 and 39,193.25 is: 61,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,116.75 : 39,193.25 = 39,193.25 : x
  2. Step 2: Convert to fraction form
    25,116.75/39,193.25 = 39,193.25/x
  3. Step 3: Cross multiply
    25,116.75x = 39,193.25 × 39,193.25
  4. Step 4: Simplify right side
    25,116.75x = 1,536,110,845.56
  5. Step 5: Solve for x
    x = 1,536,110,845.56/25,116.75
  6. Step 6: Final answer
    x = 61,158.82

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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.