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Finding the Third Proportional to 22,469.91 and 35,054.65

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Solution

The third proportional to 22,469.91 and 35,054.65 is: 54,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.91 : 35,054.65 = 35,054.65 : x
  2. Step 2: Convert to fraction form
    22,469.91/35,054.65 = 35,054.65/x
  3. Step 3: Cross multiply
    22,469.91x = 35,054.65 × 35,054.65
  4. Step 4: Simplify right side
    22,469.91x = 1,228,828,377.08
  5. Step 5: Solve for x
    x = 1,228,828,377.08/22,469.91
  6. Step 6: Final answer
    x = 54,687.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.