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Finding the Third Proportional to 24,189 and 37,362

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Solution

The third proportional to 24,189 and 37,362 is: 57,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189 : 37,362 = 37,362 : x
  2. Step 2: Convert to fraction form
    24,189/37,362 = 37,362/x
  3. Step 3: Cross multiply
    24,189x = 37,362 × 37,362
  4. Step 4: Simplify right side
    24,189x = 1,395,919,044
  5. Step 5: Solve for x
    x = 1,395,919,044/24,189
  6. Step 6: Final answer
    x = 57,708.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.