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Finding the Third Proportional to 693.93 and 1,465.83

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Solution

The third proportional to 693.93 and 1,465.83 is: 3,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.93 : 1,465.83 = 1,465.83 : x
  2. Step 2: Convert to fraction form
    693.93/1,465.83 = 1,465.83/x
  3. Step 3: Cross multiply
    693.93x = 1,465.83 × 1,465.83
  4. Step 4: Simplify right side
    693.93x = 2,148,660.68
  5. Step 5: Solve for x
    x = 2,148,660.68/693.93
  6. Step 6: Final answer
    x = 3,096.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.