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Finding the Third Proportional to 17,058 and 36,484

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Solution

The third proportional to 17,058 and 36,484 is: 78,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058 : 36,484 = 36,484 : x
  2. Step 2: Convert to fraction form
    17,058/36,484 = 36,484/x
  3. Step 3: Cross multiply
    17,058x = 36,484 × 36,484
  4. Step 4: Simplify right side
    17,058x = 1,331,082,256
  5. Step 5: Solve for x
    x = 1,331,082,256/17,058
  6. Step 6: Final answer
    x = 78,032.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.