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Finding the Third Proportional to 10,102 and 23,477

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Solution

The third proportional to 10,102 and 23,477 is: 54,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102 : 23,477 = 23,477 : x
  2. Step 2: Convert to fraction form
    10,102/23,477 = 23,477/x
  3. Step 3: Cross multiply
    10,102x = 23,477 × 23,477
  4. Step 4: Simplify right side
    10,102x = 551,169,529
  5. Step 5: Solve for x
    x = 551,169,529/10,102
  6. Step 6: Final answer
    x = 54,560.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.