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Finding the Third Proportional to 41,008.50 and 66,964.50

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Solution

The third proportional to 41,008.50 and 66,964.50 is: 109,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,008.50 : 66,964.50 = 66,964.50 : x
  2. Step 2: Convert to fraction form
    41,008.50/66,964.50 = 66,964.50/x
  3. Step 3: Cross multiply
    41,008.50x = 66,964.50 × 66,964.50
  4. Step 4: Simplify right side
    41,008.50x = 4,484,244,260.25
  5. Step 5: Solve for x
    x = 4,484,244,260.25/41,008.50
  6. Step 6: Final answer
    x = 109,349.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.