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Finding the Third Proportional to 10,269 and 14,841

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Solution

The third proportional to 10,269 and 14,841 is: 21,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269 : 14,841 = 14,841 : x
  2. Step 2: Convert to fraction form
    10,269/14,841 = 14,841/x
  3. Step 3: Cross multiply
    10,269x = 14,841 × 14,841
  4. Step 4: Simplify right side
    10,269x = 220,255,281
  5. Step 5: Solve for x
    x = 220,255,281/10,269
  6. Step 6: Final answer
    x = 21,448.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.