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Finding the Third Proportional to 1,459.27 and 2,188.90

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Solution

The third proportional to 1,459.27 and 2,188.90 is: 3,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.27 : 2,188.90 = 2,188.90 : x
  2. Step 2: Convert to fraction form
    1,459.27/2,188.90 = 2,188.90/x
  3. Step 3: Cross multiply
    1,459.27x = 2,188.90 × 2,188.90
  4. Step 4: Simplify right side
    1,459.27x = 4,791,276.37
  5. Step 5: Solve for x
    x = 4,791,276.37/1,459.27
  6. Step 6: Final answer
    x = 3,283.35

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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.