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Finding the Third Proportional to 32,999 and 44,834

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Solution

The third proportional to 32,999 and 44,834 is: 60,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999 : 44,834 = 44,834 : x
  2. Step 2: Convert to fraction form
    32,999/44,834 = 44,834/x
  3. Step 3: Cross multiply
    32,999x = 44,834 × 44,834
  4. Step 4: Simplify right side
    32,999x = 2,010,087,556
  5. Step 5: Solve for x
    x = 2,010,087,556/32,999
  6. Step 6: Final answer
    x = 60,913.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.