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Finding the Third Proportional to 23,929 and 51,513

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Solution

The third proportional to 23,929 and 51,513 is: 110,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,929 : 51,513 = 51,513 : x
  2. Step 2: Convert to fraction form
    23,929/51,513 = 51,513/x
  3. Step 3: Cross multiply
    23,929x = 51,513 × 51,513
  4. Step 4: Simplify right side
    23,929x = 2,653,589,169
  5. Step 5: Solve for x
    x = 2,653,589,169/23,929
  6. Step 6: Final answer
    x = 110,894.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.