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Finding the Third Proportional to 10,936 and 24,058

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Solution

The third proportional to 10,936 and 24,058 is: 52,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936 : 24,058 = 24,058 : x
  2. Step 2: Convert to fraction form
    10,936/24,058 = 24,058/x
  3. Step 3: Cross multiply
    10,936x = 24,058 × 24,058
  4. Step 4: Simplify right side
    10,936x = 578,787,364
  5. Step 5: Solve for x
    x = 578,787,364/10,936
  6. Step 6: Final answer
    x = 52,924.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.