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Finding the Third Proportional to 16,836 and 25,262

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Solution

The third proportional to 16,836 and 25,262 is: 37,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836 : 25,262 = 25,262 : x
  2. Step 2: Convert to fraction form
    16,836/25,262 = 25,262/x
  3. Step 3: Cross multiply
    16,836x = 25,262 × 25,262
  4. Step 4: Simplify right side
    16,836x = 638,168,644
  5. Step 5: Solve for x
    x = 638,168,644/16,836
  6. Step 6: Final answer
    x = 37,905.00

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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.