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Finding the Third Proportional to 8,861.91 and 13,477.64

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Solution

The third proportional to 8,861.91 and 13,477.64 is: 20,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.91 : 13,477.64 = 13,477.64 : x
  2. Step 2: Convert to fraction form
    8,861.91/13,477.64 = 13,477.64/x
  3. Step 3: Cross multiply
    8,861.91x = 13,477.64 × 13,477.64
  4. Step 4: Simplify right side
    8,861.91x = 181,646,796.82
  5. Step 5: Solve for x
    x = 181,646,796.82/8,861.91
  6. Step 6: Final answer
    x = 20,497.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.