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Finding the Third Proportional to 25,358 and 33,655

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Solution

The third proportional to 25,358 and 33,655 is: 44,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358 : 33,655 = 33,655 : x
  2. Step 2: Convert to fraction form
    25,358/33,655 = 33,655/x
  3. Step 3: Cross multiply
    25,358x = 33,655 × 33,655
  4. Step 4: Simplify right side
    25,358x = 1,132,659,025
  5. Step 5: Solve for x
    x = 1,132,659,025/25,358
  6. Step 6: Final answer
    x = 44,666.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.