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Finding the Third Proportional to 10,233.56 and 22,041.56

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Solution

The third proportional to 10,233.56 and 22,041.56 is: 47,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.56 : 22,041.56 = 22,041.56 : x
  2. Step 2: Convert to fraction form
    10,233.56/22,041.56 = 22,041.56/x
  3. Step 3: Cross multiply
    10,233.56x = 22,041.56 × 22,041.56
  4. Step 4: Simplify right side
    10,233.56x = 485,830,477.44
  5. Step 5: Solve for x
    x = 485,830,477.44/10,233.56
  6. Step 6: Final answer
    x = 47,474.23

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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.