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Finding the Third Proportional to 6,729 and 10,444.50

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Solution

The third proportional to 6,729 and 10,444.50 is: 16,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729 : 10,444.50 = 10,444.50 : x
  2. Step 2: Convert to fraction form
    6,729/10,444.50 = 10,444.50/x
  3. Step 3: Cross multiply
    6,729x = 10,444.50 × 10,444.50
  4. Step 4: Simplify right side
    6,729x = 109,087,580.25
  5. Step 5: Solve for x
    x = 109,087,580.25/6,729
  6. Step 6: Final answer
    x = 16,211.56

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Why These Related Problems?

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