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Finding the Third Proportional to 30,960 and 66,846

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Solution

The third proportional to 30,960 and 66,846 is: 144,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960 : 66,846 = 66,846 : x
  2. Step 2: Convert to fraction form
    30,960/66,846 = 66,846/x
  3. Step 3: Cross multiply
    30,960x = 66,846 × 66,846
  4. Step 4: Simplify right side
    30,960x = 4,468,387,716
  5. Step 5: Solve for x
    x = 4,468,387,716/30,960
  6. Step 6: Final answer
    x = 144,327.77

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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.