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Finding the Third Proportional to 8,764.31 and 18,932.63

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Solution

The third proportional to 8,764.31 and 18,932.63 is: 40,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.31 : 18,932.63 = 18,932.63 : x
  2. Step 2: Convert to fraction form
    8,764.31/18,932.63 = 18,932.63/x
  3. Step 3: Cross multiply
    8,764.31x = 18,932.63 × 18,932.63
  4. Step 4: Simplify right side
    8,764.31x = 358,444,289.39
  5. Step 5: Solve for x
    x = 358,444,289.39/8,764.31
  6. Step 6: Final answer
    x = 40,898.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.