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Finding the Third Proportional to 6,727.22 and 10,499.63

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Solution

The third proportional to 6,727.22 and 10,499.63 is: 16,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.22 : 10,499.63 = 10,499.63 : x
  2. Step 2: Convert to fraction form
    6,727.22/10,499.63 = 10,499.63/x
  3. Step 3: Cross multiply
    6,727.22x = 10,499.63 × 10,499.63
  4. Step 4: Simplify right side
    6,727.22x = 110,242,125.14
  5. Step 5: Solve for x
    x = 110,242,125.14/6,727.22
  6. Step 6: Final answer
    x = 16,387.47

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