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Finding the Third Proportional to 24,008 and 35,762

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Solution

The third proportional to 24,008 and 35,762 is: 53,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008 : 35,762 = 35,762 : x
  2. Step 2: Convert to fraction form
    24,008/35,762 = 35,762/x
  3. Step 3: Cross multiply
    24,008x = 35,762 × 35,762
  4. Step 4: Simplify right side
    24,008x = 1,278,920,644
  5. Step 5: Solve for x
    x = 1,278,920,644/24,008
  6. Step 6: Final answer
    x = 53,270.60

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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.