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Finding the Third Proportional to 44,032 and 68,212

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Solution

The third proportional to 44,032 and 68,212 is: 105,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,032 : 68,212 = 68,212 : x
  2. Step 2: Convert to fraction form
    44,032/68,212 = 68,212/x
  3. Step 3: Cross multiply
    44,032x = 68,212 × 68,212
  4. Step 4: Simplify right side
    44,032x = 4,652,876,944
  5. Step 5: Solve for x
    x = 4,652,876,944/44,032
  6. Step 6: Final answer
    x = 105,670.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.