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Finding the Third Proportional to 1,157.91 and 2,410.31

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Solution

The third proportional to 1,157.91 and 2,410.31 is: 5,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.91 : 2,410.31 = 2,410.31 : x
  2. Step 2: Convert to fraction form
    1,157.91/2,410.31 = 2,410.31/x
  3. Step 3: Cross multiply
    1,157.91x = 2,410.31 × 2,410.31
  4. Step 4: Simplify right side
    1,157.91x = 5,809,606.35
  5. Step 5: Solve for x
    x = 5,809,606.35/1,157.91
  6. Step 6: Final answer
    x = 5,017.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.