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Finding the Third Proportional to 24,770 and 52,900

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Solution

The third proportional to 24,770 and 52,900 is: 112,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770 : 52,900 = 52,900 : x
  2. Step 2: Convert to fraction form
    24,770/52,900 = 52,900/x
  3. Step 3: Cross multiply
    24,770x = 52,900 × 52,900
  4. Step 4: Simplify right side
    24,770x = 2,798,410,000
  5. Step 5: Solve for x
    x = 2,798,410,000/24,770
  6. Step 6: Final answer
    x = 112,975.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.