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Finding the Third Proportional to 44,078 and 62,833

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Solution

The third proportional to 44,078 and 62,833 is: 89,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,078 : 62,833 = 62,833 : x
  2. Step 2: Convert to fraction form
    44,078/62,833 = 62,833/x
  3. Step 3: Cross multiply
    44,078x = 62,833 × 62,833
  4. Step 4: Simplify right side
    44,078x = 3,947,985,889
  5. Step 5: Solve for x
    x = 3,947,985,889/44,078
  6. Step 6: Final answer
    x = 89,568.17

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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.