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Finding the Third Proportional to 6,219.28 and 9,427.64

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Solution

The third proportional to 6,219.28 and 9,427.64 is: 14,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.28 : 9,427.64 = 9,427.64 : x
  2. Step 2: Convert to fraction form
    6,219.28/9,427.64 = 9,427.64/x
  3. Step 3: Cross multiply
    6,219.28x = 9,427.64 × 9,427.64
  4. Step 4: Simplify right side
    6,219.28x = 88,880,407.75
  5. Step 5: Solve for x
    x = 88,880,407.75/6,219.28
  6. Step 6: Final answer
    x = 14,291.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.