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Finding the Third Proportional to 24,076 and 51,434

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Solution

The third proportional to 24,076 and 51,434 is: 109,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076 : 51,434 = 51,434 : x
  2. Step 2: Convert to fraction form
    24,076/51,434 = 51,434/x
  3. Step 3: Cross multiply
    24,076x = 51,434 × 51,434
  4. Step 4: Simplify right side
    24,076x = 2,645,456,356
  5. Step 5: Solve for x
    x = 2,645,456,356/24,076
  6. Step 6: Final answer
    x = 109,879.40

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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.