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Finding the Third Proportional to 30,745 and 67,664

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Solution

The third proportional to 30,745 and 67,664 is: 148,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745 : 67,664 = 67,664 : x
  2. Step 2: Convert to fraction form
    30,745/67,664 = 67,664/x
  3. Step 3: Cross multiply
    30,745x = 67,664 × 67,664
  4. Step 4: Simplify right side
    30,745x = 4,578,416,896
  5. Step 5: Solve for x
    x = 4,578,416,896/30,745
  6. Step 6: Final answer
    x = 148,915.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.