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Finding the Third Proportional to 43,661.50 and 66,746

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Solution

The third proportional to 43,661.50 and 66,746 is: 102,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,661.50 : 66,746 = 66,746 : x
  2. Step 2: Convert to fraction form
    43,661.50/66,746 = 66,746/x
  3. Step 3: Cross multiply
    43,661.50x = 66,746 × 66,746
  4. Step 4: Simplify right side
    43,661.50x = 4,455,028,516
  5. Step 5: Solve for x
    x = 4,455,028,516/43,661.50
  6. Step 6: Final answer
    x = 102,035.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.