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Finding the Third Proportional to 40,957 and 61,723

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Solution

The third proportional to 40,957 and 61,723 is: 93,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,957 : 61,723 = 61,723 : x
  2. Step 2: Convert to fraction form
    40,957/61,723 = 61,723/x
  3. Step 3: Cross multiply
    40,957x = 61,723 × 61,723
  4. Step 4: Simplify right side
    40,957x = 3,809,728,729
  5. Step 5: Solve for x
    x = 3,809,728,729/40,957
  6. Step 6: Final answer
    x = 93,017.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.