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Finding the Third Proportional to 1,816.17 and 4,398.05

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Solution

The third proportional to 1,816.17 and 4,398.05 is: 10,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.17 : 4,398.05 = 4,398.05 : x
  2. Step 2: Convert to fraction form
    1,816.17/4,398.05 = 4,398.05/x
  3. Step 3: Cross multiply
    1,816.17x = 4,398.05 × 4,398.05
  4. Step 4: Simplify right side
    1,816.17x = 19,342,816.31
  5. Step 5: Solve for x
    x = 19,342,816.31/1,816.17
  6. Step 6: Final answer
    x = 10,650.32

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.