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Finding the Third Proportional to 4,632.19 and 7,349.91

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Solution

The third proportional to 4,632.19 and 7,349.91 is: 11,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.19 : 7,349.91 = 7,349.91 : x
  2. Step 2: Convert to fraction form
    4,632.19/7,349.91 = 7,349.91/x
  3. Step 3: Cross multiply
    4,632.19x = 7,349.91 × 7,349.91
  4. Step 4: Simplify right side
    4,632.19x = 54,021,121.88
  5. Step 5: Solve for x
    x = 54,021,121.88/4,632.19
  6. Step 6: Final answer
    x = 11,662.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.