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Finding the Third Proportional to 24,198 and 51,898.13

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Solution

The third proportional to 24,198 and 51,898.13 is: 111,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 51,898.13 = 51,898.13 : x
  2. Step 2: Convert to fraction form
    24,198/51,898.13 = 51,898.13/x
  3. Step 3: Cross multiply
    24,198x = 51,898.13 × 51,898.13
  4. Step 4: Simplify right side
    24,198x = 2,693,415,378.52
  5. Step 5: Solve for x
    x = 2,693,415,378.52/24,198
  6. Step 6: Final answer
    x = 111,307.36

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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.