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Finding the Third Proportional to 44,896 and 68,277

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Solution

The third proportional to 44,896 and 68,277 is: 103,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,896 : 68,277 = 68,277 : x
  2. Step 2: Convert to fraction form
    44,896/68,277 = 68,277/x
  3. Step 3: Cross multiply
    44,896x = 68,277 × 68,277
  4. Step 4: Simplify right side
    44,896x = 4,661,748,729
  5. Step 5: Solve for x
    x = 4,661,748,729/44,896
  6. Step 6: Final answer
    x = 103,834.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.