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Finding the Third Proportional to 27,902.25 and 65,854.69

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Solution

The third proportional to 27,902.25 and 65,854.69 is: 155,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.25 : 65,854.69 = 65,854.69 : x
  2. Step 2: Convert to fraction form
    27,902.25/65,854.69 = 65,854.69/x
  3. Step 3: Cross multiply
    27,902.25x = 65,854.69 × 65,854.69
  4. Step 4: Simplify right side
    27,902.25x = 4,336,839,865.72
  5. Step 5: Solve for x
    x = 4,336,839,865.72/27,902.25
  6. Step 6: Final answer
    x = 155,429.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.