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Finding the Third Proportional to 28,744 and 53,963

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Solution

The third proportional to 28,744 and 53,963 is: 101,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,744 : 53,963 = 53,963 : x
  2. Step 2: Convert to fraction form
    28,744/53,963 = 53,963/x
  3. Step 3: Cross multiply
    28,744x = 53,963 × 53,963
  4. Step 4: Simplify right side
    28,744x = 2,912,005,369
  5. Step 5: Solve for x
    x = 2,912,005,369/28,744
  6. Step 6: Final answer
    x = 101,308.29

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.