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Finding the Third Proportional to 22,560.75 and 33,071.63

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Solution

The third proportional to 22,560.75 and 33,071.63 is: 48,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560.75 : 33,071.63 = 33,071.63 : x
  2. Step 2: Convert to fraction form
    22,560.75/33,071.63 = 33,071.63/x
  3. Step 3: Cross multiply
    22,560.75x = 33,071.63 × 33,071.63
  4. Step 4: Simplify right side
    22,560.75x = 1,093,732,380.14
  5. Step 5: Solve for x
    x = 1,093,732,380.14/22,560.75
  6. Step 6: Final answer
    x = 48,479.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.