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Finding the Third Proportional to 56,912 and 62,015

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Solution

The third proportional to 56,912 and 62,015 is: 67,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912 : 62,015 = 62,015 : x
  2. Step 2: Convert to fraction form
    56,912/62,015 = 62,015/x
  3. Step 3: Cross multiply
    56,912x = 62,015 × 62,015
  4. Step 4: Simplify right side
    56,912x = 3,845,860,225
  5. Step 5: Solve for x
    x = 3,845,860,225/56,912
  6. Step 6: Final answer
    x = 67,575.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.