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Finding the Third Proportional to 32,738 and 66,854

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Solution

The third proportional to 32,738 and 66,854 is: 136,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738 : 66,854 = 66,854 : x
  2. Step 2: Convert to fraction form
    32,738/66,854 = 66,854/x
  3. Step 3: Cross multiply
    32,738x = 66,854 × 66,854
  4. Step 4: Simplify right side
    32,738x = 4,469,457,316
  5. Step 5: Solve for x
    x = 4,469,457,316/32,738
  6. Step 6: Final answer
    x = 136,522.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.