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Finding the Third Proportional to 4,103.06 and 8,948.63

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Solution

The third proportional to 4,103.06 and 8,948.63 is: 19,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.06 : 8,948.63 = 8,948.63 : x
  2. Step 2: Convert to fraction form
    4,103.06/8,948.63 = 8,948.63/x
  3. Step 3: Cross multiply
    4,103.06x = 8,948.63 × 8,948.63
  4. Step 4: Simplify right side
    4,103.06x = 80,077,889.39
  5. Step 5: Solve for x
    x = 80,077,889.39/4,103.06
  6. Step 6: Final answer
    x = 19,516.61

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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.