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Finding the Third Proportional to 2,101.57 and 3,254.87

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Solution

The third proportional to 2,101.57 and 3,254.87 is: 5,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.57 : 3,254.87 = 3,254.87 : x
  2. Step 2: Convert to fraction form
    2,101.57/3,254.87 = 3,254.87/x
  3. Step 3: Cross multiply
    2,101.57x = 3,254.87 × 3,254.87
  4. Step 4: Simplify right side
    2,101.57x = 10,594,185.84
  5. Step 5: Solve for x
    x = 10,594,185.84/2,101.57
  6. Step 6: Final answer
    x = 5,041.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.