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Finding the Third Proportional to 43,657.59 and 66,739.22

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Solution

The third proportional to 43,657.59 and 66,739.22 is: 102,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,657.59 : 66,739.22 = 66,739.22 : x
  2. Step 2: Convert to fraction form
    43,657.59/66,739.22 = 66,739.22/x
  3. Step 3: Cross multiply
    43,657.59x = 66,739.22 × 66,739.22
  4. Step 4: Simplify right side
    43,657.59x = 4,454,123,319.36
  5. Step 5: Solve for x
    x = 4,454,123,319.36/43,657.59
  6. Step 6: Final answer
    x = 102,024.02

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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.