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Finding the Third Proportional to 44,773 and 62,761

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Solution

The third proportional to 44,773 and 62,761 is: 87,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,773 : 62,761 = 62,761 : x
  2. Step 2: Convert to fraction form
    44,773/62,761 = 62,761/x
  3. Step 3: Cross multiply
    44,773x = 62,761 × 62,761
  4. Step 4: Simplify right side
    44,773x = 3,938,943,121
  5. Step 5: Solve for x
    x = 3,938,943,121/44,773
  6. Step 6: Final answer
    x = 87,975.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.