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Finding the Third Proportional to 4,343.25 and 9,483.13

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Solution

The third proportional to 4,343.25 and 9,483.13 is: 20,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.25 : 9,483.13 = 9,483.13 : x
  2. Step 2: Convert to fraction form
    4,343.25/9,483.13 = 9,483.13/x
  3. Step 3: Cross multiply
    4,343.25x = 9,483.13 × 9,483.13
  4. Step 4: Simplify right side
    4,343.25x = 89,929,659.77
  5. Step 5: Solve for x
    x = 89,929,659.77/4,343.25
  6. Step 6: Final answer
    x = 20,705.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.