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Finding the Third Proportional to 22,040.86 and 48,000.09

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Solution

The third proportional to 22,040.86 and 48,000.09 is: 104,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,040.86 : 48,000.09 = 48,000.09 : x
  2. Step 2: Convert to fraction form
    22,040.86/48,000.09 = 48,000.09/x
  3. Step 3: Cross multiply
    22,040.86x = 48,000.09 × 48,000.09
  4. Step 4: Simplify right side
    22,040.86x = 2,304,009,000.01
  5. Step 5: Solve for x
    x = 2,304,009,000.01/22,040.86
  6. Step 6: Final answer
    x = 104,533.54

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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.