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Finding the Third Proportional to 11,701.97 and 25,237.83

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Solution

The third proportional to 11,701.97 and 25,237.83 is: 54,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 25,237.83 = 25,237.83 : x
  2. Step 2: Convert to fraction form
    11,701.97/25,237.83 = 25,237.83/x
  3. Step 3: Cross multiply
    11,701.97x = 25,237.83 × 25,237.83
  4. Step 4: Simplify right side
    11,701.97x = 636,947,968.47
  5. Step 5: Solve for x
    x = 636,947,968.47/11,701.97
  6. Step 6: Final answer
    x = 54,430.84

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Why These Related Problems?

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