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Finding the Third Proportional to 42,012.84 and 66,556.69

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Solution

The third proportional to 42,012.84 and 66,556.69 is: 105,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.84 : 66,556.69 = 66,556.69 : x
  2. Step 2: Convert to fraction form
    42,012.84/66,556.69 = 66,556.69/x
  3. Step 3: Cross multiply
    42,012.84x = 66,556.69 × 66,556.69
  4. Step 4: Simplify right side
    42,012.84x = 4,429,792,650.97
  5. Step 5: Solve for x
    x = 4,429,792,650.97/42,012.84
  6. Step 6: Final answer
    x = 105,439.01

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