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Finding the Third Proportional to 16,886 and 24,320

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Solution

The third proportional to 16,886 and 24,320 is: 35,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886 : 24,320 = 24,320 : x
  2. Step 2: Convert to fraction form
    16,886/24,320 = 24,320/x
  3. Step 3: Cross multiply
    16,886x = 24,320 × 24,320
  4. Step 4: Simplify right side
    16,886x = 591,462,400
  5. Step 5: Solve for x
    x = 591,462,400/16,886
  6. Step 6: Final answer
    x = 35,026.79

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.