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Finding the Third Proportional to 12,706 and 30,037

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Solution

The third proportional to 12,706 and 30,037 is: 71,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706 : 30,037 = 30,037 : x
  2. Step 2: Convert to fraction form
    12,706/30,037 = 30,037/x
  3. Step 3: Cross multiply
    12,706x = 30,037 × 30,037
  4. Step 4: Simplify right side
    12,706x = 902,221,369
  5. Step 5: Solve for x
    x = 902,221,369/12,706
  6. Step 6: Final answer
    x = 71,007.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.