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Finding the Third Proportional to 6,223.08 and 9,346.64

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Solution

The third proportional to 6,223.08 and 9,346.64 is: 14,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.08 : 9,346.64 = 9,346.64 : x
  2. Step 2: Convert to fraction form
    6,223.08/9,346.64 = 9,346.64/x
  3. Step 3: Cross multiply
    6,223.08x = 9,346.64 × 9,346.64
  4. Step 4: Simplify right side
    6,223.08x = 87,359,690.97
  5. Step 5: Solve for x
    x = 87,359,690.97/6,223.08
  6. Step 6: Final answer
    x = 14,038.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.