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Finding the Third Proportional to 22,782.38 and 48,040.31

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Solution

The third proportional to 22,782.38 and 48,040.31 is: 101,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.38 : 48,040.31 = 48,040.31 : x
  2. Step 2: Convert to fraction form
    22,782.38/48,040.31 = 48,040.31/x
  3. Step 3: Cross multiply
    22,782.38x = 48,040.31 × 48,040.31
  4. Step 4: Simplify right side
    22,782.38x = 2,307,871,625.10
  5. Step 5: Solve for x
    x = 2,307,871,625.10/22,782.38
  6. Step 6: Final answer
    x = 101,300.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.