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Finding the Third Proportional to 47,714 and 69,926

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Solution

The third proportional to 47,714 and 69,926 is: 102,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714 : 69,926 = 69,926 : x
  2. Step 2: Convert to fraction form
    47,714/69,926 = 69,926/x
  3. Step 3: Cross multiply
    47,714x = 69,926 × 69,926
  4. Step 4: Simplify right side
    47,714x = 4,889,645,476
  5. Step 5: Solve for x
    x = 4,889,645,476/47,714
  6. Step 6: Final answer
    x = 102,478.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.