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Finding the Third Proportional to 28,706.25 and 61,564.75

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Solution

The third proportional to 28,706.25 and 61,564.75 is: 132,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,706.25 : 61,564.75 = 61,564.75 : x
  2. Step 2: Convert to fraction form
    28,706.25/61,564.75 = 61,564.75/x
  3. Step 3: Cross multiply
    28,706.25x = 61,564.75 × 61,564.75
  4. Step 4: Simplify right side
    28,706.25x = 3,790,218,442.56
  5. Step 5: Solve for x
    x = 3,790,218,442.56/28,706.25
  6. Step 6: Final answer
    x = 132,034.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.