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Finding the Third Proportional to 43,083 and 61,677

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Solution

The third proportional to 43,083 and 61,677 is: 88,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,083 : 61,677 = 61,677 : x
  2. Step 2: Convert to fraction form
    43,083/61,677 = 61,677/x
  3. Step 3: Cross multiply
    43,083x = 61,677 × 61,677
  4. Step 4: Simplify right side
    43,083x = 3,804,052,329
  5. Step 5: Solve for x
    x = 3,804,052,329/43,083
  6. Step 6: Final answer
    x = 88,295.90

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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.