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Finding the Third Proportional to 42,610.50 and 66,696.75

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Solution

The third proportional to 42,610.50 and 66,696.75 is: 104,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,610.50 : 66,696.75 = 66,696.75 : x
  2. Step 2: Convert to fraction form
    42,610.50/66,696.75 = 66,696.75/x
  3. Step 3: Cross multiply
    42,610.50x = 66,696.75 × 66,696.75
  4. Step 4: Simplify right side
    42,610.50x = 4,448,456,460.56
  5. Step 5: Solve for x
    x = 4,448,456,460.56/42,610.50
  6. Step 6: Final answer
    x = 104,398.13

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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.