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Finding the Third Proportional to 10,183.22 and 15,377.34

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Solution

The third proportional to 10,183.22 and 15,377.34 is: 23,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.22 : 15,377.34 = 15,377.34 : x
  2. Step 2: Convert to fraction form
    10,183.22/15,377.34 = 15,377.34/x
  3. Step 3: Cross multiply
    10,183.22x = 15,377.34 × 15,377.34
  4. Step 4: Simplify right side
    10,183.22x = 236,462,700.81
  5. Step 5: Solve for x
    x = 236,462,700.81/10,183.22
  6. Step 6: Final answer
    x = 23,220.82

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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.