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Finding the Third Proportional to 43,955 and 69,883.50

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Solution

The third proportional to 43,955 and 69,883.50 is: 111,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,955 : 69,883.50 = 69,883.50 : x
  2. Step 2: Convert to fraction form
    43,955/69,883.50 = 69,883.50/x
  3. Step 3: Cross multiply
    43,955x = 69,883.50 × 69,883.50
  4. Step 4: Simplify right side
    43,955x = 4,883,703,572.25
  5. Step 5: Solve for x
    x = 4,883,703,572.25/43,955
  6. Step 6: Final answer
    x = 111,106.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.