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Finding the Third Proportional to 15,654 and 23,483

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Solution

The third proportional to 15,654 and 23,483 is: 35,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654 : 23,483 = 23,483 : x
  2. Step 2: Convert to fraction form
    15,654/23,483 = 23,483/x
  3. Step 3: Cross multiply
    15,654x = 23,483 × 23,483
  4. Step 4: Simplify right side
    15,654x = 551,451,289
  5. Step 5: Solve for x
    x = 551,451,289/15,654
  6. Step 6: Final answer
    x = 35,227.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.