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Finding the Third Proportional to 6,473.25 and 10,018.69

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Solution

The third proportional to 6,473.25 and 10,018.69 is: 15,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.25 : 10,018.69 = 10,018.69 : x
  2. Step 2: Convert to fraction form
    6,473.25/10,018.69 = 10,018.69/x
  3. Step 3: Cross multiply
    6,473.25x = 10,018.69 × 10,018.69
  4. Step 4: Simplify right side
    6,473.25x = 100,374,099.22
  5. Step 5: Solve for x
    x = 100,374,099.22/6,473.25
  6. Step 6: Final answer
    x = 15,505.98

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