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Finding the Third Proportional to 43,671.66 and 69,025.05

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Solution

The third proportional to 43,671.66 and 69,025.05 is: 109,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,671.66 : 69,025.05 = 69,025.05 : x
  2. Step 2: Convert to fraction form
    43,671.66/69,025.05 = 69,025.05/x
  3. Step 3: Cross multiply
    43,671.66x = 69,025.05 × 69,025.05
  4. Step 4: Simplify right side
    43,671.66x = 4,764,457,770.17
  5. Step 5: Solve for x
    x = 4,764,457,770.17/43,671.66
  6. Step 6: Final answer
    x = 109,097.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.