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Finding the Third Proportional to 924.12 and 1,994.84

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Solution

The third proportional to 924.12 and 1,994.84 is: 4,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.12 : 1,994.84 = 1,994.84 : x
  2. Step 2: Convert to fraction form
    924.12/1,994.84 = 1,994.84/x
  3. Step 3: Cross multiply
    924.12x = 1,994.84 × 1,994.84
  4. Step 4: Simplify right side
    924.12x = 3,979,370.42
  5. Step 5: Solve for x
    x = 3,979,370.42/924.12
  6. Step 6: Final answer
    x = 4,306.13

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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.