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Finding the Third Proportional to 28,261 and 41,525

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Solution

The third proportional to 28,261 and 41,525 is: 61,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,261 : 41,525 = 41,525 : x
  2. Step 2: Convert to fraction form
    28,261/41,525 = 41,525/x
  3. Step 3: Cross multiply
    28,261x = 41,525 × 41,525
  4. Step 4: Simplify right side
    28,261x = 1,724,325,625
  5. Step 5: Solve for x
    x = 1,724,325,625/28,261
  6. Step 6: Final answer
    x = 61,014.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.