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Finding the Third Proportional to 3,012.19 and 6,536.95

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Solution

The third proportional to 3,012.19 and 6,536.95 is: 14,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.19 : 6,536.95 = 6,536.95 : x
  2. Step 2: Convert to fraction form
    3,012.19/6,536.95 = 6,536.95/x
  3. Step 3: Cross multiply
    3,012.19x = 6,536.95 × 6,536.95
  4. Step 4: Simplify right side
    3,012.19x = 42,731,756.16
  5. Step 5: Solve for x
    x = 42,731,756.16/3,012.19
  6. Step 6: Final answer
    x = 14,186.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.