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Finding the Third Proportional to 6,670.69 and 10,463.91

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Solution

The third proportional to 6,670.69 and 10,463.91 is: 16,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.69 : 10,463.91 = 10,463.91 : x
  2. Step 2: Convert to fraction form
    6,670.69/10,463.91 = 10,463.91/x
  3. Step 3: Cross multiply
    6,670.69x = 10,463.91 × 10,463.91
  4. Step 4: Simplify right side
    6,670.69x = 109,493,334.01
  5. Step 5: Solve for x
    x = 109,493,334.01/6,670.69
  6. Step 6: Final answer
    x = 16,414.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.