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Finding the Third Proportional to 5,769 and 6,232.50

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Solution

The third proportional to 5,769 and 6,232.50 is: 6,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769 : 6,232.50 = 6,232.50 : x
  2. Step 2: Convert to fraction form
    5,769/6,232.50 = 6,232.50/x
  3. Step 3: Cross multiply
    5,769x = 6,232.50 × 6,232.50
  4. Step 4: Simplify right side
    5,769x = 38,844,056.25
  5. Step 5: Solve for x
    x = 38,844,056.25/5,769
  6. Step 6: Final answer
    x = 6,733.24

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.