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Finding the Third Proportional to 25,222.50 and 55,108.50

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Solution

The third proportional to 25,222.50 and 55,108.50 is: 120,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222.50 : 55,108.50 = 55,108.50 : x
  2. Step 2: Convert to fraction form
    25,222.50/55,108.50 = 55,108.50/x
  3. Step 3: Cross multiply
    25,222.50x = 55,108.50 × 55,108.50
  4. Step 4: Simplify right side
    25,222.50x = 3,036,946,772.25
  5. Step 5: Solve for x
    x = 3,036,946,772.25/25,222.50
  6. Step 6: Final answer
    x = 120,406.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.