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Finding the Third Proportional to 42,284 and 48,926

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Solution

The third proportional to 42,284 and 48,926 is: 56,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284 : 48,926 = 48,926 : x
  2. Step 2: Convert to fraction form
    42,284/48,926 = 48,926/x
  3. Step 3: Cross multiply
    42,284x = 48,926 × 48,926
  4. Step 4: Simplify right side
    42,284x = 2,393,753,476
  5. Step 5: Solve for x
    x = 2,393,753,476/42,284
  6. Step 6: Final answer
    x = 56,611.33

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.