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Finding the Third Proportional to 9,203.63 and 20,072.81

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Solution

The third proportional to 9,203.63 and 20,072.81 is: 43,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.63 : 20,072.81 = 20,072.81 : x
  2. Step 2: Convert to fraction form
    9,203.63/20,072.81 = 20,072.81/x
  3. Step 3: Cross multiply
    9,203.63x = 20,072.81 × 20,072.81
  4. Step 4: Simplify right side
    9,203.63x = 402,917,801.66
  5. Step 5: Solve for x
    x = 402,917,801.66/9,203.63
  6. Step 6: Final answer
    x = 43,778.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.