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Finding the Third Proportional to 4,172.25 and 9,701.63

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Solution

The third proportional to 4,172.25 and 9,701.63 is: 22,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.25 : 9,701.63 = 9,701.63 : x
  2. Step 2: Convert to fraction form
    4,172.25/9,701.63 = 9,701.63/x
  3. Step 3: Cross multiply
    4,172.25x = 9,701.63 × 9,701.63
  4. Step 4: Simplify right side
    4,172.25x = 94,121,527.64
  5. Step 5: Solve for x
    x = 94,121,527.64/4,172.25
  6. Step 6: Final answer
    x = 22,558.94

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.