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Finding the Third Proportional to 30,910 and 67,328

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Solution

The third proportional to 30,910 and 67,328 is: 146,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910 : 67,328 = 67,328 : x
  2. Step 2: Convert to fraction form
    30,910/67,328 = 67,328/x
  3. Step 3: Cross multiply
    30,910x = 67,328 × 67,328
  4. Step 4: Simplify right side
    30,910x = 4,533,059,584
  5. Step 5: Solve for x
    x = 4,533,059,584/30,910
  6. Step 6: Final answer
    x = 146,653.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.