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Finding the Third Proportional to 24,325 and 37,562

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Solution

The third proportional to 24,325 and 37,562 is: 58,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325 : 37,562 = 37,562 : x
  2. Step 2: Convert to fraction form
    24,325/37,562 = 37,562/x
  3. Step 3: Cross multiply
    24,325x = 37,562 × 37,562
  4. Step 4: Simplify right side
    24,325x = 1,410,903,844
  5. Step 5: Solve for x
    x = 1,410,903,844/24,325
  6. Step 6: Final answer
    x = 58,002.21

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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.