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Finding the Third Proportional to 28,048 and 65,543

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Solution

The third proportional to 28,048 and 65,543 is: 153,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,048 : 65,543 = 65,543 : x
  2. Step 2: Convert to fraction form
    28,048/65,543 = 65,543/x
  3. Step 3: Cross multiply
    28,048x = 65,543 × 65,543
  4. Step 4: Simplify right side
    28,048x = 4,295,884,849
  5. Step 5: Solve for x
    x = 4,295,884,849/28,048
  6. Step 6: Final answer
    x = 153,161.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.