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Finding the Third Proportional to 24,040 and 52,135

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Solution

The third proportional to 24,040 and 52,135 is: 113,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,040 : 52,135 = 52,135 : x
  2. Step 2: Convert to fraction form
    24,040/52,135 = 52,135/x
  3. Step 3: Cross multiply
    24,040x = 52,135 × 52,135
  4. Step 4: Simplify right side
    24,040x = 2,718,058,225
  5. Step 5: Solve for x
    x = 2,718,058,225/24,040
  6. Step 6: Final answer
    x = 113,063.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.