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Finding the Third Proportional to 32,783 and 67,900

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Solution

The third proportional to 32,783 and 67,900 is: 140,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783 : 67,900 = 67,900 : x
  2. Step 2: Convert to fraction form
    32,783/67,900 = 67,900/x
  3. Step 3: Cross multiply
    32,783x = 67,900 × 67,900
  4. Step 4: Simplify right side
    32,783x = 4,610,410,000
  5. Step 5: Solve for x
    x = 4,610,410,000/32,783
  6. Step 6: Final answer
    x = 140,634.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.