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Finding the Third Proportional to 14,071 and 30,756

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Solution

The third proportional to 14,071 and 30,756 is: 67,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071 : 30,756 = 30,756 : x
  2. Step 2: Convert to fraction form
    14,071/30,756 = 30,756/x
  3. Step 3: Cross multiply
    14,071x = 30,756 × 30,756
  4. Step 4: Simplify right side
    14,071x = 945,931,536
  5. Step 5: Solve for x
    x = 945,931,536/14,071
  6. Step 6: Final answer
    x = 67,225.61

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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.