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Finding the Third Proportional to 25,407 and 33,942

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Solution

The third proportional to 25,407 and 33,942 is: 45,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407 : 33,942 = 33,942 : x
  2. Step 2: Convert to fraction form
    25,407/33,942 = 33,942/x
  3. Step 3: Cross multiply
    25,407x = 33,942 × 33,942
  4. Step 4: Simplify right side
    25,407x = 1,152,059,364
  5. Step 5: Solve for x
    x = 1,152,059,364/25,407
  6. Step 6: Final answer
    x = 45,344.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.