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Finding the Third Proportional to 9,057.66 and 19,816.31

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Solution

The third proportional to 9,057.66 and 19,816.31 is: 43,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.66 : 19,816.31 = 19,816.31 : x
  2. Step 2: Convert to fraction form
    9,057.66/19,816.31 = 19,816.31/x
  3. Step 3: Cross multiply
    9,057.66x = 19,816.31 × 19,816.31
  4. Step 4: Simplify right side
    9,057.66x = 392,686,241.10
  5. Step 5: Solve for x
    x = 392,686,241.10/9,057.66
  6. Step 6: Final answer
    x = 43,354.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.