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Finding the Third Proportional to 5,403 and 7,808.50

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Solution

The third proportional to 5,403 and 7,808.50 is: 11,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403 : 7,808.50 = 7,808.50 : x
  2. Step 2: Convert to fraction form
    5,403/7,808.50 = 7,808.50/x
  3. Step 3: Cross multiply
    5,403x = 7,808.50 × 7,808.50
  4. Step 4: Simplify right side
    5,403x = 60,972,672.25
  5. Step 5: Solve for x
    x = 60,972,672.25/5,403
  6. Step 6: Final answer
    x = 11,284.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.