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Finding the Third Proportional to 5,796 and 8,206.50

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Solution

The third proportional to 5,796 and 8,206.50 is: 11,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796 : 8,206.50 = 8,206.50 : x
  2. Step 2: Convert to fraction form
    5,796/8,206.50 = 8,206.50/x
  3. Step 3: Cross multiply
    5,796x = 8,206.50 × 8,206.50
  4. Step 4: Simplify right side
    5,796x = 67,346,642.25
  5. Step 5: Solve for x
    x = 67,346,642.25/5,796
  6. Step 6: Final answer
    x = 11,619.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.