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Finding the Third Proportional to 10,969.17 and 23,271.05

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Solution

The third proportional to 10,969.17 and 23,271.05 is: 49,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.17 : 23,271.05 = 23,271.05 : x
  2. Step 2: Convert to fraction form
    10,969.17/23,271.05 = 23,271.05/x
  3. Step 3: Cross multiply
    10,969.17x = 23,271.05 × 23,271.05
  4. Step 4: Simplify right side
    10,969.17x = 541,541,622.66
  5. Step 5: Solve for x
    x = 541,541,622.66/10,969.17
  6. Step 6: Final answer
    x = 49,369.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.