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Finding the Third Proportional to 4,244.06 and 6,625.13

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Solution

The third proportional to 4,244.06 and 6,625.13 is: 10,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.06 : 6,625.13 = 6,625.13 : x
  2. Step 2: Convert to fraction form
    4,244.06/6,625.13 = 6,625.13/x
  3. Step 3: Cross multiply
    4,244.06x = 6,625.13 × 6,625.13
  4. Step 4: Simplify right side
    4,244.06x = 43,892,281.27
  5. Step 5: Solve for x
    x = 43,892,281.27/4,244.06
  6. Step 6: Final answer
    x = 10,342.04

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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.