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Finding the Third Proportional to 42,619.50 and 66,858

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Solution

The third proportional to 42,619.50 and 66,858 is: 104,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,619.50 : 66,858 = 66,858 : x
  2. Step 2: Convert to fraction form
    42,619.50/66,858 = 66,858/x
  3. Step 3: Cross multiply
    42,619.50x = 66,858 × 66,858
  4. Step 4: Simplify right side
    42,619.50x = 4,469,992,164
  5. Step 5: Solve for x
    x = 4,469,992,164/42,619.50
  6. Step 6: Final answer
    x = 104,881.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.