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Finding the Third Proportional to 24,950 and 53,770

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Solution

The third proportional to 24,950 and 53,770 is: 115,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950 : 53,770 = 53,770 : x
  2. Step 2: Convert to fraction form
    24,950/53,770 = 53,770/x
  3. Step 3: Cross multiply
    24,950x = 53,770 × 53,770
  4. Step 4: Simplify right side
    24,950x = 2,891,212,900
  5. Step 5: Solve for x
    x = 2,891,212,900/24,950
  6. Step 6: Final answer
    x = 115,880.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.