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Finding the Third Proportional to 30,676 and 68,534

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Solution

The third proportional to 30,676 and 68,534 is: 153,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676 : 68,534 = 68,534 : x
  2. Step 2: Convert to fraction form
    30,676/68,534 = 68,534/x
  3. Step 3: Cross multiply
    30,676x = 68,534 × 68,534
  4. Step 4: Simplify right side
    30,676x = 4,696,909,156
  5. Step 5: Solve for x
    x = 4,696,909,156/30,676
  6. Step 6: Final answer
    x = 153,113.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.