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Finding the Third Proportional to 3,729 and 5,701.50

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Solution

The third proportional to 3,729 and 5,701.50 is: 8,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729 : 5,701.50 = 5,701.50 : x
  2. Step 2: Convert to fraction form
    3,729/5,701.50 = 5,701.50/x
  3. Step 3: Cross multiply
    3,729x = 5,701.50 × 5,701.50
  4. Step 4: Simplify right side
    3,729x = 32,507,102.25
  5. Step 5: Solve for x
    x = 32,507,102.25/3,729
  6. Step 6: Final answer
    x = 8,717.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.