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Finding the Third Proportional to 30,669 and 43,405.50

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Solution

The third proportional to 30,669 and 43,405.50 is: 61,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669 : 43,405.50 = 43,405.50 : x
  2. Step 2: Convert to fraction form
    30,669/43,405.50 = 43,405.50/x
  3. Step 3: Cross multiply
    30,669x = 43,405.50 × 43,405.50
  4. Step 4: Simplify right side
    30,669x = 1,884,037,430.25
  5. Step 5: Solve for x
    x = 1,884,037,430.25/30,669
  6. Step 6: Final answer
    x = 61,431.33

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.