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Finding the Third Proportional to 6,363.56 and 9,843.40

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Solution

The third proportional to 6,363.56 and 9,843.40 is: 15,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.56 : 9,843.40 = 9,843.40 : x
  2. Step 2: Convert to fraction form
    6,363.56/9,843.40 = 9,843.40/x
  3. Step 3: Cross multiply
    6,363.56x = 9,843.40 × 9,843.40
  4. Step 4: Simplify right side
    6,363.56x = 96,892,492.80
  5. Step 5: Solve for x
    x = 96,892,492.80/6,363.56
  6. Step 6: Final answer
    x = 15,226.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.