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Finding the Third Proportional to 28,986 and 61,768

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Solution

The third proportional to 28,986 and 61,768 is: 131,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,986 : 61,768 = 61,768 : x
  2. Step 2: Convert to fraction form
    28,986/61,768 = 61,768/x
  3. Step 3: Cross multiply
    28,986x = 61,768 × 61,768
  4. Step 4: Simplify right side
    28,986x = 3,815,285,824
  5. Step 5: Solve for x
    x = 3,815,285,824/28,986
  6. Step 6: Final answer
    x = 131,625.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.