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Finding the Third Proportional to 30,984 and 67,908

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Solution

The third proportional to 30,984 and 67,908 is: 148,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984 : 67,908 = 67,908 : x
  2. Step 2: Convert to fraction form
    30,984/67,908 = 67,908/x
  3. Step 3: Cross multiply
    30,984x = 67,908 × 67,908
  4. Step 4: Simplify right side
    30,984x = 4,611,496,464
  5. Step 5: Solve for x
    x = 4,611,496,464/30,984
  6. Step 6: Final answer
    x = 148,834.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.