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Finding the Third Proportional to 28,371 and 61,832

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Solution

The third proportional to 28,371 and 61,832 is: 134,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,371 : 61,832 = 61,832 : x
  2. Step 2: Convert to fraction form
    28,371/61,832 = 61,832/x
  3. Step 3: Cross multiply
    28,371x = 61,832 × 61,832
  4. Step 4: Simplify right side
    28,371x = 3,823,196,224
  5. Step 5: Solve for x
    x = 3,823,196,224/28,371
  6. Step 6: Final answer
    x = 134,757.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.