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Finding the Third Proportional to 2,659.50 and 5,719.50

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Solution

The third proportional to 2,659.50 and 5,719.50 is: 12,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.50 : 5,719.50 = 5,719.50 : x
  2. Step 2: Convert to fraction form
    2,659.50/5,719.50 = 5,719.50/x
  3. Step 3: Cross multiply
    2,659.50x = 5,719.50 × 5,719.50
  4. Step 4: Simplify right side
    2,659.50x = 32,712,680.25
  5. Step 5: Solve for x
    x = 32,712,680.25/2,659.50
  6. Step 6: Final answer
    x = 12,300.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.