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Finding the Third Proportional to 28,205 and 60,663

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Solution

The third proportional to 28,205 and 60,663 is: 130,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205 : 60,663 = 60,663 : x
  2. Step 2: Convert to fraction form
    28,205/60,663 = 60,663/x
  3. Step 3: Cross multiply
    28,205x = 60,663 × 60,663
  4. Step 4: Simplify right side
    28,205x = 3,679,999,569
  5. Step 5: Solve for x
    x = 3,679,999,569/28,205
  6. Step 6: Final answer
    x = 130,473.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.