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Finding the Third Proportional to 6,295.22 and 9,792.14

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Solution

The third proportional to 6,295.22 and 9,792.14 is: 15,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.22 : 9,792.14 = 9,792.14 : x
  2. Step 2: Convert to fraction form
    6,295.22/9,792.14 = 9,792.14/x
  3. Step 3: Cross multiply
    6,295.22x = 9,792.14 × 9,792.14
  4. Step 4: Simplify right side
    6,295.22x = 95,886,018.02
  5. Step 5: Solve for x
    x = 95,886,018.02/6,295.22
  6. Step 6: Final answer
    x = 15,231.56

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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.