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Finding the Third Proportional to 22,520.53 and 52,129.41

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Solution

The third proportional to 22,520.53 and 52,129.41 is: 120,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.53 : 52,129.41 = 52,129.41 : x
  2. Step 2: Convert to fraction form
    22,520.53/52,129.41 = 52,129.41/x
  3. Step 3: Cross multiply
    22,520.53x = 52,129.41 × 52,129.41
  4. Step 4: Simplify right side
    22,520.53x = 2,717,474,995.98
  5. Step 5: Solve for x
    x = 2,717,474,995.98/22,520.53
  6. Step 6: Final answer
    x = 120,666.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.