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Finding the Third Proportional to 22,648.13 and 37,431.75

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Solution

The third proportional to 22,648.13 and 37,431.75 is: 61,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.13 : 37,431.75 = 37,431.75 : x
  2. Step 2: Convert to fraction form
    22,648.13/37,431.75 = 37,431.75/x
  3. Step 3: Cross multiply
    22,648.13x = 37,431.75 × 37,431.75
  4. Step 4: Simplify right side
    22,648.13x = 1,401,135,908.06
  5. Step 5: Solve for x
    x = 1,401,135,908.06/22,648.13
  6. Step 6: Final answer
    x = 61,865.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.