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Finding the Third Proportional to 2,825.90 and 4,157.18

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Solution

The third proportional to 2,825.90 and 4,157.18 is: 6,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.90 : 4,157.18 = 4,157.18 : x
  2. Step 2: Convert to fraction form
    2,825.90/4,157.18 = 4,157.18/x
  3. Step 3: Cross multiply
    2,825.90x = 4,157.18 × 4,157.18
  4. Step 4: Simplify right side
    2,825.90x = 17,282,167.31
  5. Step 5: Solve for x
    x = 17,282,167.31/2,825.90
  6. Step 6: Final answer
    x = 6,115.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.