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Finding the Third Proportional to 4,904.44 and 10,623.80

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Solution

The third proportional to 4,904.44 and 10,623.80 is: 23,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.44 : 10,623.80 = 10,623.80 : x
  2. Step 2: Convert to fraction form
    4,904.44/10,623.80 = 10,623.80/x
  3. Step 3: Cross multiply
    4,904.44x = 10,623.80 × 10,623.80
  4. Step 4: Simplify right side
    4,904.44x = 112,865,060.04
  5. Step 5: Solve for x
    x = 112,865,060.04/4,904.44
  6. Step 6: Final answer
    x = 23,012.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.