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Finding the Third Proportional to 16,691 and 25,994

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Solution

The third proportional to 16,691 and 25,994 is: 40,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691 : 25,994 = 25,994 : x
  2. Step 2: Convert to fraction form
    16,691/25,994 = 25,994/x
  3. Step 3: Cross multiply
    16,691x = 25,994 × 25,994
  4. Step 4: Simplify right side
    16,691x = 675,688,036
  5. Step 5: Solve for x
    x = 675,688,036/16,691
  6. Step 6: Final answer
    x = 40,482.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.