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Finding the Third Proportional to 24,309.94 and 50,307.38

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Solution

The third proportional to 24,309.94 and 50,307.38 is: 104,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.94 : 50,307.38 = 50,307.38 : x
  2. Step 2: Convert to fraction form
    24,309.94/50,307.38 = 50,307.38/x
  3. Step 3: Cross multiply
    24,309.94x = 50,307.38 × 50,307.38
  4. Step 4: Simplify right side
    24,309.94x = 2,530,831,979.39
  5. Step 5: Solve for x
    x = 2,530,831,979.39/24,309.94
  6. Step 6: Final answer
    x = 104,106.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.