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Finding the Third Proportional to 6,719 and 14,591.50

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Solution

The third proportional to 6,719 and 14,591.50 is: 31,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719 : 14,591.50 = 14,591.50 : x
  2. Step 2: Convert to fraction form
    6,719/14,591.50 = 14,591.50/x
  3. Step 3: Cross multiply
    6,719x = 14,591.50 × 14,591.50
  4. Step 4: Simplify right side
    6,719x = 212,911,872.25
  5. Step 5: Solve for x
    x = 212,911,872.25/6,719
  6. Step 6: Final answer
    x = 31,688.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.