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Finding the Third Proportional to 10,323 and 14,349

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Solution

The third proportional to 10,323 and 14,349 is: 19,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 14,349 = 14,349 : x
  2. Step 2: Convert to fraction form
    10,323/14,349 = 14,349/x
  3. Step 3: Cross multiply
    10,323x = 14,349 × 14,349
  4. Step 4: Simplify right side
    10,323x = 205,893,801
  5. Step 5: Solve for x
    x = 205,893,801/10,323
  6. Step 6: Final answer
    x = 19,945.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.