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Finding the Third Proportional to 1,711.13 and 4,057.31

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Solution

The third proportional to 1,711.13 and 4,057.31 is: 9,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.13 : 4,057.31 = 4,057.31 : x
  2. Step 2: Convert to fraction form
    1,711.13/4,057.31 = 4,057.31/x
  3. Step 3: Cross multiply
    1,711.13x = 4,057.31 × 4,057.31
  4. Step 4: Simplify right side
    1,711.13x = 16,461,784.72
  5. Step 5: Solve for x
    x = 16,461,784.72/1,711.13
  6. Step 6: Final answer
    x = 9,620.45

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.