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Finding the Third Proportional to 15,407 and 33,657

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Solution

The third proportional to 15,407 and 33,657 is: 73,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407 : 33,657 = 33,657 : x
  2. Step 2: Convert to fraction form
    15,407/33,657 = 33,657/x
  3. Step 3: Cross multiply
    15,407x = 33,657 × 33,657
  4. Step 4: Simplify right side
    15,407x = 1,132,793,649
  5. Step 5: Solve for x
    x = 1,132,793,649/15,407
  6. Step 6: Final answer
    x = 73,524.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.