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Finding the Third Proportional to 24,213 and 52,761

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Solution

The third proportional to 24,213 and 52,761 is: 114,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213 : 52,761 = 52,761 : x
  2. Step 2: Convert to fraction form
    24,213/52,761 = 52,761/x
  3. Step 3: Cross multiply
    24,213x = 52,761 × 52,761
  4. Step 4: Simplify right side
    24,213x = 2,783,723,121
  5. Step 5: Solve for x
    x = 2,783,723,121/24,213
  6. Step 6: Final answer
    x = 114,968.12

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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.