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Finding the Third Proportional to 36,261 and 52,813

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Solution

The third proportional to 36,261 and 52,813 is: 76,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,261 : 52,813 = 52,813 : x
  2. Step 2: Convert to fraction form
    36,261/52,813 = 52,813/x
  3. Step 3: Cross multiply
    36,261x = 52,813 × 52,813
  4. Step 4: Simplify right side
    36,261x = 2,789,212,969
  5. Step 5: Solve for x
    x = 2,789,212,969/36,261
  6. Step 6: Final answer
    x = 76,920.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.