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Finding the Third Proportional to 30,916 and 67,342

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Solution

The third proportional to 30,916 and 67,342 is: 146,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916 : 67,342 = 67,342 : x
  2. Step 2: Convert to fraction form
    30,916/67,342 = 67,342/x
  3. Step 3: Cross multiply
    30,916x = 67,342 × 67,342
  4. Step 4: Simplify right side
    30,916x = 4,534,944,964
  5. Step 5: Solve for x
    x = 4,534,944,964/30,916
  6. Step 6: Final answer
    x = 146,686.02

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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.