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Finding the Third Proportional to 32,586 and 66,894

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Solution

The third proportional to 32,586 and 66,894 is: 137,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586 : 66,894 = 66,894 : x
  2. Step 2: Convert to fraction form
    32,586/66,894 = 66,894/x
  3. Step 3: Cross multiply
    32,586x = 66,894 × 66,894
  4. Step 4: Simplify right side
    32,586x = 4,474,807,236
  5. Step 5: Solve for x
    x = 4,474,807,236/32,586
  6. Step 6: Final answer
    x = 137,323.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.