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Finding the Third Proportional to 23,978 and 52,033

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Solution

The third proportional to 23,978 and 52,033 is: 112,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978 : 52,033 = 52,033 : x
  2. Step 2: Convert to fraction form
    23,978/52,033 = 52,033/x
  3. Step 3: Cross multiply
    23,978x = 52,033 × 52,033
  4. Step 4: Simplify right side
    23,978x = 2,707,433,089
  5. Step 5: Solve for x
    x = 2,707,433,089/23,978
  6. Step 6: Final answer
    x = 112,913.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.