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Finding the Third Proportional to 30,339 and 44,354.25

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Solution

The third proportional to 30,339 and 44,354.25 is: 64,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339 : 44,354.25 = 44,354.25 : x
  2. Step 2: Convert to fraction form
    30,339/44,354.25 = 44,354.25/x
  3. Step 3: Cross multiply
    30,339x = 44,354.25 × 44,354.25
  4. Step 4: Simplify right side
    30,339x = 1,967,299,493.06
  5. Step 5: Solve for x
    x = 1,967,299,493.06/30,339
  6. Step 6: Final answer
    x = 64,843.91

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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.