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Finding the Third Proportional to 24,600 and 53,818

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Solution

The third proportional to 24,600 and 53,818 is: 117,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600 : 53,818 = 53,818 : x
  2. Step 2: Convert to fraction form
    24,600/53,818 = 53,818/x
  3. Step 3: Cross multiply
    24,600x = 53,818 × 53,818
  4. Step 4: Simplify right side
    24,600x = 2,896,377,124
  5. Step 5: Solve for x
    x = 2,896,377,124/24,600
  6. Step 6: Final answer
    x = 117,738.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.