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Finding the Third Proportional to 41,106 and 61,664.50

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Solution

The third proportional to 41,106 and 61,664.50 is: 92,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,106 : 61,664.50 = 61,664.50 : x
  2. Step 2: Convert to fraction form
    41,106/61,664.50 = 61,664.50/x
  3. Step 3: Cross multiply
    41,106x = 61,664.50 × 61,664.50
  4. Step 4: Simplify right side
    41,106x = 3,802,510,560.25
  5. Step 5: Solve for x
    x = 3,802,510,560.25/41,106
  6. Step 6: Final answer
    x = 92,505.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.