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Finding the Third Proportional to 7,055.23 and 15,212.18

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Solution

The third proportional to 7,055.23 and 15,212.18 is: 32,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.23 : 15,212.18 = 15,212.18 : x
  2. Step 2: Convert to fraction form
    7,055.23/15,212.18 = 15,212.18/x
  3. Step 3: Cross multiply
    7,055.23x = 15,212.18 × 15,212.18
  4. Step 4: Simplify right side
    7,055.23x = 231,410,410.84
  5. Step 5: Solve for x
    x = 231,410,410.84/7,055.23
  6. Step 6: Final answer
    x = 32,799.86

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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.