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Finding the Third Proportional to 27,912 and 65,835

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Solution

The third proportional to 27,912 and 65,835 is: 155,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912 : 65,835 = 65,835 : x
  2. Step 2: Convert to fraction form
    27,912/65,835 = 65,835/x
  3. Step 3: Cross multiply
    27,912x = 65,835 × 65,835
  4. Step 4: Simplify right side
    27,912x = 4,334,247,225
  5. Step 5: Solve for x
    x = 4,334,247,225/27,912
  6. Step 6: Final answer
    x = 155,282.57

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Why These Related Problems?

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