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Finding the Third Proportional to 30,964 and 67,532

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Solution

The third proportional to 30,964 and 67,532 is: 147,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964 : 67,532 = 67,532 : x
  2. Step 2: Convert to fraction form
    30,964/67,532 = 67,532/x
  3. Step 3: Cross multiply
    30,964x = 67,532 × 67,532
  4. Step 4: Simplify right side
    30,964x = 4,560,571,024
  5. Step 5: Solve for x
    x = 4,560,571,024/30,964
  6. Step 6: Final answer
    x = 147,286.24

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Why These Related Problems?

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