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Finding the Third Proportional to 3,693.33 and 7,905.65

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Solution

The third proportional to 3,693.33 and 7,905.65 is: 16,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.33 : 7,905.65 = 7,905.65 : x
  2. Step 2: Convert to fraction form
    3,693.33/7,905.65 = 7,905.65/x
  3. Step 3: Cross multiply
    3,693.33x = 7,905.65 × 7,905.65
  4. Step 4: Simplify right side
    3,693.33x = 62,499,261.78
  5. Step 5: Solve for x
    x = 62,499,261.78/3,693.33
  6. Step 6: Final answer
    x = 16,922.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.