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Finding the Third Proportional to 22,424 and 31,426

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Solution

The third proportional to 22,424 and 31,426 is: 44,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424 : 31,426 = 31,426 : x
  2. Step 2: Convert to fraction form
    22,424/31,426 = 31,426/x
  3. Step 3: Cross multiply
    22,424x = 31,426 × 31,426
  4. Step 4: Simplify right side
    22,424x = 987,593,476
  5. Step 5: Solve for x
    x = 987,593,476/22,424
  6. Step 6: Final answer
    x = 44,041.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.