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Finding the Third Proportional to 25,584.50 and 39,470.50

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Solution

The third proportional to 25,584.50 and 39,470.50 is: 60,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584.50 : 39,470.50 = 39,470.50 : x
  2. Step 2: Convert to fraction form
    25,584.50/39,470.50 = 39,470.50/x
  3. Step 3: Cross multiply
    25,584.50x = 39,470.50 × 39,470.50
  4. Step 4: Simplify right side
    25,584.50x = 1,557,920,370.25
  5. Step 5: Solve for x
    x = 1,557,920,370.25/25,584.50
  6. Step 6: Final answer
    x = 60,893.13

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