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Finding the Third Proportional to 3,162.50 and 4,967.75

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Solution

The third proportional to 3,162.50 and 4,967.75 is: 7,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.50 : 4,967.75 = 4,967.75 : x
  2. Step 2: Convert to fraction form
    3,162.50/4,967.75 = 4,967.75/x
  3. Step 3: Cross multiply
    3,162.50x = 4,967.75 × 4,967.75
  4. Step 4: Simplify right side
    3,162.50x = 24,678,540.06
  5. Step 5: Solve for x
    x = 24,678,540.06/3,162.50
  6. Step 6: Final answer
    x = 7,803.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.