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Finding the Third Proportional to 16,287 and 24,426

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Solution

The third proportional to 16,287 and 24,426 is: 36,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287 : 24,426 = 24,426 : x
  2. Step 2: Convert to fraction form
    16,287/24,426 = 24,426/x
  3. Step 3: Cross multiply
    16,287x = 24,426 × 24,426
  4. Step 4: Simplify right side
    16,287x = 596,629,476
  5. Step 5: Solve for x
    x = 596,629,476/16,287
  6. Step 6: Final answer
    x = 36,632.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.