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Finding the Third Proportional to 28,291 and 61,037

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Solution

The third proportional to 28,291 and 61,037 is: 131,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,291 : 61,037 = 61,037 : x
  2. Step 2: Convert to fraction form
    28,291/61,037 = 61,037/x
  3. Step 3: Cross multiply
    28,291x = 61,037 × 61,037
  4. Step 4: Simplify right side
    28,291x = 3,725,515,369
  5. Step 5: Solve for x
    x = 3,725,515,369/28,291
  6. Step 6: Final answer
    x = 131,685.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.