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Finding the Third Proportional to 22,041 and 31,420

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Solution

The third proportional to 22,041 and 31,420 is: 44,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,041 : 31,420 = 31,420 : x
  2. Step 2: Convert to fraction form
    22,041/31,420 = 31,420/x
  3. Step 3: Cross multiply
    22,041x = 31,420 × 31,420
  4. Step 4: Simplify right side
    22,041x = 987,216,400
  5. Step 5: Solve for x
    x = 987,216,400/22,041
  6. Step 6: Final answer
    x = 44,790.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.