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Finding the Third Proportional to 932.13 and 1,923.12

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Solution

The third proportional to 932.13 and 1,923.12 is: 3,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.13 : 1,923.12 = 1,923.12 : x
  2. Step 2: Convert to fraction form
    932.13/1,923.12 = 1,923.12/x
  3. Step 3: Cross multiply
    932.13x = 1,923.12 × 1,923.12
  4. Step 4: Simplify right side
    932.13x = 3,698,379.72
  5. Step 5: Solve for x
    x = 3,698,379.72/932.13
  6. Step 6: Final answer
    x = 3,967.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.