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Finding the Third Proportional to 2,292.75 and 4,032.56

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Solution

The third proportional to 2,292.75 and 4,032.56 is: 7,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.75 : 4,032.56 = 4,032.56 : x
  2. Step 2: Convert to fraction form
    2,292.75/4,032.56 = 4,032.56/x
  3. Step 3: Cross multiply
    2,292.75x = 4,032.56 × 4,032.56
  4. Step 4: Simplify right side
    2,292.75x = 16,261,560.32
  5. Step 5: Solve for x
    x = 16,261,560.32/2,292.75
  6. Step 6: Final answer
    x = 7,092.60

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.