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Finding the Third Proportional to 36,724.50 and 75,622.50

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Solution

The third proportional to 36,724.50 and 75,622.50 is: 155,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,724.50 : 75,622.50 = 75,622.50 : x
  2. Step 2: Convert to fraction form
    36,724.50/75,622.50 = 75,622.50/x
  3. Step 3: Cross multiply
    36,724.50x = 75,622.50 × 75,622.50
  4. Step 4: Simplify right side
    36,724.50x = 5,718,762,506.25
  5. Step 5: Solve for x
    x = 5,718,762,506.25/36,724.50
  6. Step 6: Final answer
    x = 155,720.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.