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Finding the Third Proportional to 30,918 and 66,762

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Solution

The third proportional to 30,918 and 66,762 is: 144,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918 : 66,762 = 66,762 : x
  2. Step 2: Convert to fraction form
    30,918/66,762 = 66,762/x
  3. Step 3: Cross multiply
    30,918x = 66,762 × 66,762
  4. Step 4: Simplify right side
    30,918x = 4,457,164,644
  5. Step 5: Solve for x
    x = 4,457,164,644/30,918
  6. Step 6: Final answer
    x = 144,160.83

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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.