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Finding the Third Proportional to 28,986 and 45,963

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Solution

The third proportional to 28,986 and 45,963 is: 72,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,986 : 45,963 = 45,963 : x
  2. Step 2: Convert to fraction form
    28,986/45,963 = 45,963/x
  3. Step 3: Cross multiply
    28,986x = 45,963 × 45,963
  4. Step 4: Simplify right side
    28,986x = 2,112,597,369
  5. Step 5: Solve for x
    x = 2,112,597,369/28,986
  6. Step 6: Final answer
    x = 72,883.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.