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Finding the Third Proportional to 8,346 and 18,143

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Solution

The third proportional to 8,346 and 18,143 is: 39,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346 : 18,143 = 18,143 : x
  2. Step 2: Convert to fraction form
    8,346/18,143 = 18,143/x
  3. Step 3: Cross multiply
    8,346x = 18,143 × 18,143
  4. Step 4: Simplify right side
    8,346x = 329,168,449
  5. Step 5: Solve for x
    x = 329,168,449/8,346
  6. Step 6: Final answer
    x = 39,440.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.