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Finding the Third Proportional to 6,996.19 and 15,120.19

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Solution

The third proportional to 6,996.19 and 15,120.19 is: 32,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.19 : 15,120.19 = 15,120.19 : x
  2. Step 2: Convert to fraction form
    6,996.19/15,120.19 = 15,120.19/x
  3. Step 3: Cross multiply
    6,996.19x = 15,120.19 × 15,120.19
  4. Step 4: Simplify right side
    6,996.19x = 228,620,070.04
  5. Step 5: Solve for x
    x = 228,620,070.04/6,996.19
  6. Step 6: Final answer
    x = 32,677.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.