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Finding the Third Proportional to 11,701.97 and 25,283.39

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Solution

The third proportional to 11,701.97 and 25,283.39 is: 54,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 25,283.39 = 25,283.39 : x
  2. Step 2: Convert to fraction form
    11,701.97/25,283.39 = 25,283.39/x
  3. Step 3: Cross multiply
    11,701.97x = 25,283.39 × 25,283.39
  4. Step 4: Simplify right side
    11,701.97x = 639,249,841.50
  5. Step 5: Solve for x
    x = 639,249,841.50/11,701.97
  6. Step 6: Final answer
    x = 54,627.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.