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Finding the Third Proportional to 28,372 and 61,834

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Solution

The third proportional to 28,372 and 61,834 is: 134,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,372 : 61,834 = 61,834 : x
  2. Step 2: Convert to fraction form
    28,372/61,834 = 61,834/x
  3. Step 3: Cross multiply
    28,372x = 61,834 × 61,834
  4. Step 4: Simplify right side
    28,372x = 3,823,443,556
  5. Step 5: Solve for x
    x = 3,823,443,556/28,372
  6. Step 6: Final answer
    x = 134,761.16

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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.