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Finding the Third Proportional to 23,654 and 35,655

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Solution

The third proportional to 23,654 and 35,655 is: 53,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654 : 35,655 = 35,655 : x
  2. Step 2: Convert to fraction form
    23,654/35,655 = 35,655/x
  3. Step 3: Cross multiply
    23,654x = 35,655 × 35,655
  4. Step 4: Simplify right side
    23,654x = 1,271,279,025
  5. Step 5: Solve for x
    x = 1,271,279,025/23,654
  6. Step 6: Final answer
    x = 53,744.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.