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Finding the Third Proportional to 45,992 and 66,990

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Solution

The third proportional to 45,992 and 66,990 is: 97,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,992 : 66,990 = 66,990 : x
  2. Step 2: Convert to fraction form
    45,992/66,990 = 66,990/x
  3. Step 3: Cross multiply
    45,992x = 66,990 × 66,990
  4. Step 4: Simplify right side
    45,992x = 4,487,660,100
  5. Step 5: Solve for x
    x = 4,487,660,100/45,992
  6. Step 6: Final answer
    x = 97,574.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.