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Finding the Third Proportional to 22,982.48 and 35,141.98

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Solution

The third proportional to 22,982.48 and 35,141.98 is: 53,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.48 : 35,141.98 = 35,141.98 : x
  2. Step 2: Convert to fraction form
    22,982.48/35,141.98 = 35,141.98/x
  3. Step 3: Cross multiply
    22,982.48x = 35,141.98 × 35,141.98
  4. Step 4: Simplify right side
    22,982.48x = 1,234,958,516.72
  5. Step 5: Solve for x
    x = 1,234,958,516.72/22,982.48
  6. Step 6: Final answer
    x = 53,734.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.