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Finding the Third Proportional to 25,987.50 and 40,223.25

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Solution

The third proportional to 25,987.50 and 40,223.25 is: 62,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987.50 : 40,223.25 = 40,223.25 : x
  2. Step 2: Convert to fraction form
    25,987.50/40,223.25 = 40,223.25/x
  3. Step 3: Cross multiply
    25,987.50x = 40,223.25 × 40,223.25
  4. Step 4: Simplify right side
    25,987.50x = 1,617,909,840.56
  5. Step 5: Solve for x
    x = 1,617,909,840.56/25,987.50
  6. Step 6: Final answer
    x = 62,257.23

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