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Finding the Third Proportional to 15,451 and 33,910

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Solution

The third proportional to 15,451 and 33,910 is: 74,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,451 : 33,910 = 33,910 : x
  2. Step 2: Convert to fraction form
    15,451/33,910 = 33,910/x
  3. Step 3: Cross multiply
    15,451x = 33,910 × 33,910
  4. Step 4: Simplify right side
    15,451x = 1,149,888,100
  5. Step 5: Solve for x
    x = 1,149,888,100/15,451
  6. Step 6: Final answer
    x = 74,421.60

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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.