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Finding the Third Proportional to 23,671 and 51,033

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Solution

The third proportional to 23,671 and 51,033 is: 110,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671 : 51,033 = 51,033 : x
  2. Step 2: Convert to fraction form
    23,671/51,033 = 51,033/x
  3. Step 3: Cross multiply
    23,671x = 51,033 × 51,033
  4. Step 4: Simplify right side
    23,671x = 2,604,367,089
  5. Step 5: Solve for x
    x = 2,604,367,089/23,671
  6. Step 6: Final answer
    x = 110,023.53

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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.