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Finding the Third Proportional to 24,671 and 53,283

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Solution

The third proportional to 24,671 and 53,283 is: 115,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671 : 53,283 = 53,283 : x
  2. Step 2: Convert to fraction form
    24,671/53,283 = 53,283/x
  3. Step 3: Cross multiply
    24,671x = 53,283 × 53,283
  4. Step 4: Simplify right side
    24,671x = 2,839,078,089
  5. Step 5: Solve for x
    x = 2,839,078,089/24,671
  6. Step 6: Final answer
    x = 115,077.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.