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Finding the Third Proportional to 9,029 and 13,447

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Solution

The third proportional to 9,029 and 13,447 is: 20,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029 : 13,447 = 13,447 : x
  2. Step 2: Convert to fraction form
    9,029/13,447 = 13,447/x
  3. Step 3: Cross multiply
    9,029x = 13,447 × 13,447
  4. Step 4: Simplify right side
    9,029x = 180,821,809
  5. Step 5: Solve for x
    x = 180,821,809/9,029
  6. Step 6: Final answer
    x = 20,026.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.