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Finding the Third Proportional to 10,247 and 15,477

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Solution

The third proportional to 10,247 and 15,477 is: 23,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247 : 15,477 = 15,477 : x
  2. Step 2: Convert to fraction form
    10,247/15,477 = 15,477/x
  3. Step 3: Cross multiply
    10,247x = 15,477 × 15,477
  4. Step 4: Simplify right side
    10,247x = 239,537,529
  5. Step 5: Solve for x
    x = 239,537,529/10,247
  6. Step 6: Final answer
    x = 23,376.36

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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.