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Finding the Third Proportional to 16,305 and 23,321.50

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Solution

The third proportional to 16,305 and 23,321.50 is: 33,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305 : 23,321.50 = 23,321.50 : x
  2. Step 2: Convert to fraction form
    16,305/23,321.50 = 23,321.50/x
  3. Step 3: Cross multiply
    16,305x = 23,321.50 × 23,321.50
  4. Step 4: Simplify right side
    16,305x = 543,892,362.25
  5. Step 5: Solve for x
    x = 543,892,362.25/16,305
  6. Step 6: Final answer
    x = 33,357.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.