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Finding the Third Proportional to 30,796 and 40,438

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Solution

The third proportional to 30,796 and 40,438 is: 53,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796 : 40,438 = 40,438 : x
  2. Step 2: Convert to fraction form
    30,796/40,438 = 40,438/x
  3. Step 3: Cross multiply
    30,796x = 40,438 × 40,438
  4. Step 4: Simplify right side
    30,796x = 1,635,231,844
  5. Step 5: Solve for x
    x = 1,635,231,844/30,796
  6. Step 6: Final answer
    x = 53,098.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.