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Finding the Third Proportional to 3,225.23 and 7,065.14

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Solution

The third proportional to 3,225.23 and 7,065.14 is: 15,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.23 : 7,065.14 = 7,065.14 : x
  2. Step 2: Convert to fraction form
    3,225.23/7,065.14 = 7,065.14/x
  3. Step 3: Cross multiply
    3,225.23x = 7,065.14 × 7,065.14
  4. Step 4: Simplify right side
    3,225.23x = 49,916,212.05
  5. Step 5: Solve for x
    x = 49,916,212.05/3,225.23
  6. Step 6: Final answer
    x = 15,476.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.