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Finding the Third Proportional to 28,768 and 45,204

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Solution

The third proportional to 28,768 and 45,204 is: 71,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,768 : 45,204 = 45,204 : x
  2. Step 2: Convert to fraction form
    28,768/45,204 = 45,204/x
  3. Step 3: Cross multiply
    28,768x = 45,204 × 45,204
  4. Step 4: Simplify right side
    28,768x = 2,043,401,616
  5. Step 5: Solve for x
    x = 2,043,401,616/28,768
  6. Step 6: Final answer
    x = 71,030.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.