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Finding the Third Proportional to 3,212.16 and 5,006.18

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Solution

The third proportional to 3,212.16 and 5,006.18 is: 7,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.16 : 5,006.18 = 5,006.18 : x
  2. Step 2: Convert to fraction form
    3,212.16/5,006.18 = 5,006.18/x
  3. Step 3: Cross multiply
    3,212.16x = 5,006.18 × 5,006.18
  4. Step 4: Simplify right side
    3,212.16x = 25,061,835.06
  5. Step 5: Solve for x
    x = 25,061,835.06/3,212.16
  6. Step 6: Final answer
    x = 7,802.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.