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Finding the Third Proportional to 24,033 and 35,850

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Solution

The third proportional to 24,033 and 35,850 is: 53,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033 : 35,850 = 35,850 : x
  2. Step 2: Convert to fraction form
    24,033/35,850 = 35,850/x
  3. Step 3: Cross multiply
    24,033x = 35,850 × 35,850
  4. Step 4: Simplify right side
    24,033x = 1,285,222,500
  5. Step 5: Solve for x
    x = 1,285,222,500/24,033
  6. Step 6: Final answer
    x = 53,477.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.