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Finding the Third Proportional to 30,740 and 67,048

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Solution

The third proportional to 30,740 and 67,048 is: 146,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740 : 67,048 = 67,048 : x
  2. Step 2: Convert to fraction form
    30,740/67,048 = 67,048/x
  3. Step 3: Cross multiply
    30,740x = 67,048 × 67,048
  4. Step 4: Simplify right side
    30,740x = 4,495,434,304
  5. Step 5: Solve for x
    x = 4,495,434,304/30,740
  6. Step 6: Final answer
    x = 146,240.54

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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.