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Finding the Third Proportional to 36,942 and 55,399.50

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Solution

The third proportional to 36,942 and 55,399.50 is: 83,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,942 : 55,399.50 = 55,399.50 : x
  2. Step 2: Convert to fraction form
    36,942/55,399.50 = 55,399.50/x
  3. Step 3: Cross multiply
    36,942x = 55,399.50 × 55,399.50
  4. Step 4: Simplify right side
    36,942x = 3,069,104,600.25
  5. Step 5: Solve for x
    x = 3,069,104,600.25/36,942
  6. Step 6: Final answer
    x = 83,079.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.