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Finding the Third Proportional to 9,216.47 and 13,900.22

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Solution

The third proportional to 9,216.47 and 13,900.22 is: 20,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.47 : 13,900.22 = 13,900.22 : x
  2. Step 2: Convert to fraction form
    9,216.47/13,900.22 = 13,900.22/x
  3. Step 3: Cross multiply
    9,216.47x = 13,900.22 × 13,900.22
  4. Step 4: Simplify right side
    9,216.47x = 193,216,081.30
  5. Step 5: Solve for x
    x = 193,216,081.30/9,216.47
  6. Step 6: Final answer
    x = 20,964.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.