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Finding the Third Proportional to 6,369.19 and 9,358.03

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Solution

The third proportional to 6,369.19 and 9,358.03 is: 13,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.19 : 9,358.03 = 9,358.03 : x
  2. Step 2: Convert to fraction form
    6,369.19/9,358.03 = 9,358.03/x
  3. Step 3: Cross multiply
    6,369.19x = 9,358.03 × 9,358.03
  4. Step 4: Simplify right side
    6,369.19x = 87,572,748.88
  5. Step 5: Solve for x
    x = 87,572,748.88/6,369.19
  6. Step 6: Final answer
    x = 13,749.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.