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Finding the Third Proportional to 30,730 and 67,022

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Solution

The third proportional to 30,730 and 67,022 is: 146,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730 : 67,022 = 67,022 : x
  2. Step 2: Convert to fraction form
    30,730/67,022 = 67,022/x
  3. Step 3: Cross multiply
    30,730x = 67,022 × 67,022
  4. Step 4: Simplify right side
    30,730x = 4,491,948,484
  5. Step 5: Solve for x
    x = 4,491,948,484/30,730
  6. Step 6: Final answer
    x = 146,174.70

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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.