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Finding the Third Proportional to 3,973.13 and 5,296.88

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Solution

The third proportional to 3,973.13 and 5,296.88 is: 7,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.13 : 5,296.88 = 5,296.88 : x
  2. Step 2: Convert to fraction form
    3,973.13/5,296.88 = 5,296.88/x
  3. Step 3: Cross multiply
    3,973.13x = 5,296.88 × 5,296.88
  4. Step 4: Simplify right side
    3,973.13x = 28,056,884.77
  5. Step 5: Solve for x
    x = 28,056,884.77/3,973.13
  6. Step 6: Final answer
    x = 7,061.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.