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Finding the Third Proportional to 34,319 and 44,026

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Solution

The third proportional to 34,319 and 44,026 is: 56,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319 : 44,026 = 44,026 : x
  2. Step 2: Convert to fraction form
    34,319/44,026 = 44,026/x
  3. Step 3: Cross multiply
    34,319x = 44,026 × 44,026
  4. Step 4: Simplify right side
    34,319x = 1,938,288,676
  5. Step 5: Solve for x
    x = 1,938,288,676/34,319
  6. Step 6: Final answer
    x = 56,478.59

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.