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Finding the Third Proportional to 30,940 and 66,806

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Solution

The third proportional to 30,940 and 66,806 is: 144,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940 : 66,806 = 66,806 : x
  2. Step 2: Convert to fraction form
    30,940/66,806 = 66,806/x
  3. Step 3: Cross multiply
    30,940x = 66,806 × 66,806
  4. Step 4: Simplify right side
    30,940x = 4,463,041,636
  5. Step 5: Solve for x
    x = 4,463,041,636/30,940
  6. Step 6: Final answer
    x = 144,248.28

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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.