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Finding the Third Proportional to 30,058 and 43,743

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Solution

The third proportional to 30,058 and 43,743 is: 63,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058 : 43,743 = 43,743 : x
  2. Step 2: Convert to fraction form
    30,058/43,743 = 43,743/x
  3. Step 3: Cross multiply
    30,058x = 43,743 × 43,743
  4. Step 4: Simplify right side
    30,058x = 1,913,450,049
  5. Step 5: Solve for x
    x = 1,913,450,049/30,058
  6. Step 6: Final answer
    x = 63,658.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.