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Finding the Third Proportional to 8,714.46 and 13,850.37

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Solution

The third proportional to 8,714.46 and 13,850.37 is: 22,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.46 : 13,850.37 = 13,850.37 : x
  2. Step 2: Convert to fraction form
    8,714.46/13,850.37 = 13,850.37/x
  3. Step 3: Cross multiply
    8,714.46x = 13,850.37 × 13,850.37
  4. Step 4: Simplify right side
    8,714.46x = 191,832,671.23
  5. Step 5: Solve for x
    x = 191,832,671.23/8,714.46
  6. Step 6: Final answer
    x = 22,013.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.