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Finding the Third Proportional to 44,064 and 62,815

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Solution

The third proportional to 44,064 and 62,815 is: 89,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,064 : 62,815 = 62,815 : x
  2. Step 2: Convert to fraction form
    44,064/62,815 = 62,815/x
  3. Step 3: Cross multiply
    44,064x = 62,815 × 62,815
  4. Step 4: Simplify right side
    44,064x = 3,945,724,225
  5. Step 5: Solve for x
    x = 3,945,724,225/44,064
  6. Step 6: Final answer
    x = 89,545.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.