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Finding the Third Proportional to 39,283 and 80,870

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Solution

The third proportional to 39,283 and 80,870 is: 166,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,283 : 80,870 = 80,870 : x
  2. Step 2: Convert to fraction form
    39,283/80,870 = 80,870/x
  3. Step 3: Cross multiply
    39,283x = 80,870 × 80,870
  4. Step 4: Simplify right side
    39,283x = 6,539,956,900
  5. Step 5: Solve for x
    x = 6,539,956,900/39,283
  6. Step 6: Final answer
    x = 166,483.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.