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Finding the Third Proportional to 24,273 and 53,079

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Solution

The third proportional to 24,273 and 53,079 is: 116,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273 : 53,079 = 53,079 : x
  2. Step 2: Convert to fraction form
    24,273/53,079 = 53,079/x
  3. Step 3: Cross multiply
    24,273x = 53,079 × 53,079
  4. Step 4: Simplify right side
    24,273x = 2,817,380,241
  5. Step 5: Solve for x
    x = 2,817,380,241/24,273
  6. Step 6: Final answer
    x = 116,070.54

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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.