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Finding the Third Proportional to 13,058 and 30,819

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Solution

The third proportional to 13,058 and 30,819 is: 72,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058 : 30,819 = 30,819 : x
  2. Step 2: Convert to fraction form
    13,058/30,819 = 30,819/x
  3. Step 3: Cross multiply
    13,058x = 30,819 × 30,819
  4. Step 4: Simplify right side
    13,058x = 949,810,761
  5. Step 5: Solve for x
    x = 949,810,761/13,058
  6. Step 6: Final answer
    x = 72,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.