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Finding the Third Proportional to 25,194.75 and 37,215.75

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Solution

The third proportional to 25,194.75 and 37,215.75 is: 54,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.75 : 37,215.75 = 37,215.75 : x
  2. Step 2: Convert to fraction form
    25,194.75/37,215.75 = 37,215.75/x
  3. Step 3: Cross multiply
    25,194.75x = 37,215.75 × 37,215.75
  4. Step 4: Simplify right side
    25,194.75x = 1,385,012,048.06
  5. Step 5: Solve for x
    x = 1,385,012,048.06/25,194.75
  6. Step 6: Final answer
    x = 54,972.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.