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Finding the Third Proportional to 4,510.69 and 12,165.19

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Solution

The third proportional to 4,510.69 and 12,165.19 is: 32,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 12,165.19 = 12,165.19 : x
  2. Step 2: Convert to fraction form
    4,510.69/12,165.19 = 12,165.19/x
  3. Step 3: Cross multiply
    4,510.69x = 12,165.19 × 12,165.19
  4. Step 4: Simplify right side
    4,510.69x = 147,991,786.91
  5. Step 5: Solve for x
    x = 147,991,786.91/4,510.69
  6. Step 6: Final answer
    x = 32,809.14

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.