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Finding the Third Proportional to 24,078 and 51,438

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Solution

The third proportional to 24,078 and 51,438 is: 109,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078 : 51,438 = 51,438 : x
  2. Step 2: Convert to fraction form
    24,078/51,438 = 51,438/x
  3. Step 3: Cross multiply
    24,078x = 51,438 × 51,438
  4. Step 4: Simplify right side
    24,078x = 2,645,867,844
  5. Step 5: Solve for x
    x = 2,645,867,844/24,078
  6. Step 6: Final answer
    x = 109,887.36

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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.