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Finding the Third Proportional to 5,717.25 and 6,538.50

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Solution

The third proportional to 5,717.25 and 6,538.50 is: 7,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.25 : 6,538.50 = 6,538.50 : x
  2. Step 2: Convert to fraction form
    5,717.25/6,538.50 = 6,538.50/x
  3. Step 3: Cross multiply
    5,717.25x = 6,538.50 × 6,538.50
  4. Step 4: Simplify right side
    5,717.25x = 42,751,982.25
  5. Step 5: Solve for x
    x = 42,751,982.25/5,717.25
  6. Step 6: Final answer
    x = 7,477.72

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.