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Finding the Third Proportional to 8,357.34 and 18,354.66

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Solution

The third proportional to 8,357.34 and 18,354.66 is: 40,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.34 : 18,354.66 = 18,354.66 : x
  2. Step 2: Convert to fraction form
    8,357.34/18,354.66 = 18,354.66/x
  3. Step 3: Cross multiply
    8,357.34x = 18,354.66 × 18,354.66
  4. Step 4: Simplify right side
    8,357.34x = 336,893,406.06
  5. Step 5: Solve for x
    x = 336,893,406.06/8,357.34
  6. Step 6: Final answer
    x = 40,311.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.