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Finding the Third Proportional to 24,976 and 53,026

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Solution

The third proportional to 24,976 and 53,026 is: 112,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976 : 53,026 = 53,026 : x
  2. Step 2: Convert to fraction form
    24,976/53,026 = 53,026/x
  3. Step 3: Cross multiply
    24,976x = 53,026 × 53,026
  4. Step 4: Simplify right side
    24,976x = 2,811,756,676
  5. Step 5: Solve for x
    x = 2,811,756,676/24,976
  6. Step 6: Final answer
    x = 112,578.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.