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Finding the Third Proportional to 16,499 and 36,262

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Solution

The third proportional to 16,499 and 36,262 is: 79,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499 : 36,262 = 36,262 : x
  2. Step 2: Convert to fraction form
    16,499/36,262 = 36,262/x
  3. Step 3: Cross multiply
    16,499x = 36,262 × 36,262
  4. Step 4: Simplify right side
    16,499x = 1,314,932,644
  5. Step 5: Solve for x
    x = 1,314,932,644/16,499
  6. Step 6: Final answer
    x = 79,697.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.