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Finding the Third Proportional to 6,342 and 8,419.50

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Solution

The third proportional to 6,342 and 8,419.50 is: 11,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342 : 8,419.50 = 8,419.50 : x
  2. Step 2: Convert to fraction form
    6,342/8,419.50 = 8,419.50/x
  3. Step 3: Cross multiply
    6,342x = 8,419.50 × 8,419.50
  4. Step 4: Simplify right side
    6,342x = 70,887,980.25
  5. Step 5: Solve for x
    x = 70,887,980.25/6,342
  6. Step 6: Final answer
    x = 11,177.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.