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Finding the Third Proportional to 44,588 and 59,190

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Solution

The third proportional to 44,588 and 59,190 is: 78,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,588 : 59,190 = 59,190 : x
  2. Step 2: Convert to fraction form
    44,588/59,190 = 59,190/x
  3. Step 3: Cross multiply
    44,588x = 59,190 × 59,190
  4. Step 4: Simplify right side
    44,588x = 3,503,456,100
  5. Step 5: Solve for x
    x = 3,503,456,100/44,588
  6. Step 6: Final answer
    x = 78,573.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.