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Finding the Third Proportional to 9,309.94 and 20,001.94

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Solution

The third proportional to 9,309.94 and 20,001.94 is: 42,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.94 : 20,001.94 = 20,001.94 : x
  2. Step 2: Convert to fraction form
    9,309.94/20,001.94 = 20,001.94/x
  3. Step 3: Cross multiply
    9,309.94x = 20,001.94 × 20,001.94
  4. Step 4: Simplify right side
    9,309.94x = 400,077,503.75
  5. Step 5: Solve for x
    x = 400,077,503.75/9,309.94
  6. Step 6: Final answer
    x = 42,973.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.