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Finding the Third Proportional to 28,166.50 and 61,199

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Solution

The third proportional to 28,166.50 and 61,199 is: 132,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,166.50 : 61,199 = 61,199 : x
  2. Step 2: Convert to fraction form
    28,166.50/61,199 = 61,199/x
  3. Step 3: Cross multiply
    28,166.50x = 61,199 × 61,199
  4. Step 4: Simplify right side
    28,166.50x = 3,745,317,601
  5. Step 5: Solve for x
    x = 3,745,317,601/28,166.50
  6. Step 6: Final answer
    x = 132,970.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.