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Finding the Third Proportional to 16,459 and 36,724

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Solution

The third proportional to 16,459 and 36,724 is: 81,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459 : 36,724 = 36,724 : x
  2. Step 2: Convert to fraction form
    16,459/36,724 = 36,724/x
  3. Step 3: Cross multiply
    16,459x = 36,724 × 36,724
  4. Step 4: Simplify right side
    16,459x = 1,348,652,176
  5. Step 5: Solve for x
    x = 1,348,652,176/16,459
  6. Step 6: Final answer
    x = 81,940.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.