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Finding the Third Proportional to 25,370.25 and 39,435.75

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Solution

The third proportional to 25,370.25 and 39,435.75 is: 61,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,370.25 : 39,435.75 = 39,435.75 : x
  2. Step 2: Convert to fraction form
    25,370.25/39,435.75 = 39,435.75/x
  3. Step 3: Cross multiply
    25,370.25x = 39,435.75 × 39,435.75
  4. Step 4: Simplify right side
    25,370.25x = 1,555,178,378.06
  5. Step 5: Solve for x
    x = 1,555,178,378.06/25,370.25
  6. Step 6: Final answer
    x = 61,299.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.