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Finding the Third Proportional to 6,259.13 and 9,747.94

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Solution

The third proportional to 6,259.13 and 9,747.94 is: 15,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.13 : 9,747.94 = 9,747.94 : x
  2. Step 2: Convert to fraction form
    6,259.13/9,747.94 = 9,747.94/x
  3. Step 3: Cross multiply
    6,259.13x = 9,747.94 × 9,747.94
  4. Step 4: Simplify right side
    6,259.13x = 95,022,285.50
  5. Step 5: Solve for x
    x = 95,022,285.50/6,259.13
  6. Step 6: Final answer
    x = 15,181.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.