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Finding the Third Proportional to 17,733.94 and 33,417.56

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Solution

The third proportional to 17,733.94 and 33,417.56 is: 62,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.94 : 33,417.56 = 33,417.56 : x
  2. Step 2: Convert to fraction form
    17,733.94/33,417.56 = 33,417.56/x
  3. Step 3: Cross multiply
    17,733.94x = 33,417.56 × 33,417.56
  4. Step 4: Simplify right side
    17,733.94x = 1,116,733,483.44
  5. Step 5: Solve for x
    x = 1,116,733,483.44/17,733.94
  6. Step 6: Final answer
    x = 62,971.55

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.