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Finding the Third Proportional to 22,018.50 and 31,476.75

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Solution

The third proportional to 22,018.50 and 31,476.75 is: 44,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,018.50 : 31,476.75 = 31,476.75 : x
  2. Step 2: Convert to fraction form
    22,018.50/31,476.75 = 31,476.75/x
  3. Step 3: Cross multiply
    22,018.50x = 31,476.75 × 31,476.75
  4. Step 4: Simplify right side
    22,018.50x = 990,785,790.56
  5. Step 5: Solve for x
    x = 990,785,790.56/22,018.50
  6. Step 6: Final answer
    x = 44,997.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.