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Finding the Third Proportional to 17,512.88 and 38,426.06

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Solution

The third proportional to 17,512.88 and 38,426.06 is: 84,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,512.88 : 38,426.06 = 38,426.06 : x
  2. Step 2: Convert to fraction form
    17,512.88/38,426.06 = 38,426.06/x
  3. Step 3: Cross multiply
    17,512.88x = 38,426.06 × 38,426.06
  4. Step 4: Simplify right side
    17,512.88x = 1,476,562,279.25
  5. Step 5: Solve for x
    x = 1,476,562,279.25/17,512.88
  6. Step 6: Final answer
    x = 84,312.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.