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Finding the Third Proportional to 2,188.90 and 3,283.35

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Solution

The third proportional to 2,188.90 and 3,283.35 is: 4,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.90 : 3,283.35 = 3,283.35 : x
  2. Step 2: Convert to fraction form
    2,188.90/3,283.35 = 3,283.35/x
  3. Step 3: Cross multiply
    2,188.90x = 3,283.35 × 3,283.35
  4. Step 4: Simplify right side
    2,188.90x = 10,780,371.83
  5. Step 5: Solve for x
    x = 10,780,371.83/2,188.90
  6. Step 6: Final answer
    x = 4,925.02

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