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Finding the Third Proportional to 16,538 and 36,046

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Solution

The third proportional to 16,538 and 36,046 is: 78,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538 : 36,046 = 36,046 : x
  2. Step 2: Convert to fraction form
    16,538/36,046 = 36,046/x
  3. Step 3: Cross multiply
    16,538x = 36,046 × 36,046
  4. Step 4: Simplify right side
    16,538x = 1,299,314,116
  5. Step 5: Solve for x
    x = 1,299,314,116/16,538
  6. Step 6: Final answer
    x = 78,565.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.