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Finding the Third Proportional to 45,974 and 66,969

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Solution

The third proportional to 45,974 and 66,969 is: 97,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,974 : 66,969 = 66,969 : x
  2. Step 2: Convert to fraction form
    45,974/66,969 = 66,969/x
  3. Step 3: Cross multiply
    45,974x = 66,969 × 66,969
  4. Step 4: Simplify right side
    45,974x = 4,484,846,961
  5. Step 5: Solve for x
    x = 4,484,846,961/45,974
  6. Step 6: Final answer
    x = 97,551.81

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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.