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Finding the Third Proportional to 2,127.80 and 3,281.41

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Solution

The third proportional to 2,127.80 and 3,281.41 is: 5,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.80 : 3,281.41 = 3,281.41 : x
  2. Step 2: Convert to fraction form
    2,127.80/3,281.41 = 3,281.41/x
  3. Step 3: Cross multiply
    2,127.80x = 3,281.41 × 3,281.41
  4. Step 4: Simplify right side
    2,127.80x = 10,767,678.25
  5. Step 5: Solve for x
    x = 10,767,678.25/2,127.80
  6. Step 6: Final answer
    x = 5,060.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.