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Finding the Third Proportional to 4,309.88 and 10,430.44

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Solution

The third proportional to 4,309.88 and 10,430.44 is: 25,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.88 : 10,430.44 = 10,430.44 : x
  2. Step 2: Convert to fraction form
    4,309.88/10,430.44 = 10,430.44/x
  3. Step 3: Cross multiply
    4,309.88x = 10,430.44 × 10,430.44
  4. Step 4: Simplify right side
    4,309.88x = 108,794,026.44
  5. Step 5: Solve for x
    x = 108,794,026.44/4,309.88
  6. Step 6: Final answer
    x = 25,242.97

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.