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Finding the Third Proportional to 2,731.25 and 4,092.25

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Solution

The third proportional to 2,731.25 and 4,092.25 is: 6,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.25 : 4,092.25 = 4,092.25 : x
  2. Step 2: Convert to fraction form
    2,731.25/4,092.25 = 4,092.25/x
  3. Step 3: Cross multiply
    2,731.25x = 4,092.25 × 4,092.25
  4. Step 4: Simplify right side
    2,731.25x = 16,746,510.06
  5. Step 5: Solve for x
    x = 16,746,510.06/2,731.25
  6. Step 6: Final answer
    x = 6,131.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.