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Finding the Third Proportional to 24,071 and 52,516

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Solution

The third proportional to 24,071 and 52,516 is: 114,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071 : 52,516 = 52,516 : x
  2. Step 2: Convert to fraction form
    24,071/52,516 = 52,516/x
  3. Step 3: Cross multiply
    24,071x = 52,516 × 52,516
  4. Step 4: Simplify right side
    24,071x = 2,757,930,256
  5. Step 5: Solve for x
    x = 2,757,930,256/24,071
  6. Step 6: Final answer
    x = 114,574.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.