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Finding the Third Proportional to 22,513.50 and 40,018.50

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Solution

The third proportional to 22,513.50 and 40,018.50 is: 71,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.50 : 40,018.50 = 40,018.50 : x
  2. Step 2: Convert to fraction form
    22,513.50/40,018.50 = 40,018.50/x
  3. Step 3: Cross multiply
    22,513.50x = 40,018.50 × 40,018.50
  4. Step 4: Simplify right side
    22,513.50x = 1,601,480,342.25
  5. Step 5: Solve for x
    x = 1,601,480,342.25/22,513.50
  6. Step 6: Final answer
    x = 71,134.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.