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Finding the Third Proportional to 9,802.69 and 16,512.19

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Solution

The third proportional to 9,802.69 and 16,512.19 is: 27,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.69 : 16,512.19 = 16,512.19 : x
  2. Step 2: Convert to fraction form
    9,802.69/16,512.19 = 16,512.19/x
  3. Step 3: Cross multiply
    9,802.69x = 16,512.19 × 16,512.19
  4. Step 4: Simplify right side
    9,802.69x = 272,652,336.04
  5. Step 5: Solve for x
    x = 272,652,336.04/9,802.69
  6. Step 6: Final answer
    x = 27,814.04

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.