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Finding the Third Proportional to 44,006 and 59,790

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Solution

The third proportional to 44,006 and 59,790 is: 81,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,006 : 59,790 = 59,790 : x
  2. Step 2: Convert to fraction form
    44,006/59,790 = 59,790/x
  3. Step 3: Cross multiply
    44,006x = 59,790 × 59,790
  4. Step 4: Simplify right side
    44,006x = 3,574,844,100
  5. Step 5: Solve for x
    x = 3,574,844,100/44,006
  6. Step 6: Final answer
    x = 81,235.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.