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Finding the Third Proportional to 47,006 and 51,926

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Solution

The third proportional to 47,006 and 51,926 is: 57,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006 : 51,926 = 51,926 : x
  2. Step 2: Convert to fraction form
    47,006/51,926 = 51,926/x
  3. Step 3: Cross multiply
    47,006x = 51,926 × 51,926
  4. Step 4: Simplify right side
    47,006x = 2,696,309,476
  5. Step 5: Solve for x
    x = 2,696,309,476/47,006
  6. Step 6: Final answer
    x = 57,360.96

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.