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Finding the Third Proportional to 10,701.97 and 17,043.94

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Solution

The third proportional to 10,701.97 and 17,043.94 is: 27,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.97 : 17,043.94 = 17,043.94 : x
  2. Step 2: Convert to fraction form
    10,701.97/17,043.94 = 17,043.94/x
  3. Step 3: Cross multiply
    10,701.97x = 17,043.94 × 17,043.94
  4. Step 4: Simplify right side
    10,701.97x = 290,495,805.50
  5. Step 5: Solve for x
    x = 290,495,805.50/10,701.97
  6. Step 6: Final answer
    x = 27,144.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.