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Finding the Third Proportional to 30,908 and 67,648

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Solution

The third proportional to 30,908 and 67,648 is: 148,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908 : 67,648 = 67,648 : x
  2. Step 2: Convert to fraction form
    30,908/67,648 = 67,648/x
  3. Step 3: Cross multiply
    30,908x = 67,648 × 67,648
  4. Step 4: Simplify right side
    30,908x = 4,576,251,904
  5. Step 5: Solve for x
    x = 4,576,251,904/30,908
  6. Step 6: Final answer
    x = 148,060.43

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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.