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Finding the Third Proportional to 16,701.75 and 22,352.25

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Solution

The third proportional to 16,701.75 and 22,352.25 is: 29,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,701.75 : 22,352.25 = 22,352.25 : x
  2. Step 2: Convert to fraction form
    16,701.75/22,352.25 = 22,352.25/x
  3. Step 3: Cross multiply
    16,701.75x = 22,352.25 × 22,352.25
  4. Step 4: Simplify right side
    16,701.75x = 499,623,080.06
  5. Step 5: Solve for x
    x = 499,623,080.06/16,701.75
  6. Step 6: Final answer
    x = 29,914.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.