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Finding the Third Proportional to 922.64 and 2,169.91

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Solution

The third proportional to 922.64 and 2,169.91 is: 5,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 2,169.91 = 2,169.91 : x
  2. Step 2: Convert to fraction form
    922.64/2,169.91 = 2,169.91/x
  3. Step 3: Cross multiply
    922.64x = 2,169.91 × 2,169.91
  4. Step 4: Simplify right side
    922.64x = 4,708,527.04
  5. Step 5: Solve for x
    x = 4,708,527.04/922.64
  6. Step 6: Final answer
    x = 5,103.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.