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Finding the Third Proportional to 25,392.50 and 55,022.50

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Solution

The third proportional to 25,392.50 and 55,022.50 is: 119,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,392.50 : 55,022.50 = 55,022.50 : x
  2. Step 2: Convert to fraction form
    25,392.50/55,022.50 = 55,022.50/x
  3. Step 3: Cross multiply
    25,392.50x = 55,022.50 × 55,022.50
  4. Step 4: Simplify right side
    25,392.50x = 3,027,475,506.25
  5. Step 5: Solve for x
    x = 3,027,475,506.25/25,392.50
  6. Step 6: Final answer
    x = 119,227.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.