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Finding the Third Proportional to 16,161 and 23,709.75

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Solution

The third proportional to 16,161 and 23,709.75 is: 34,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161 : 23,709.75 = 23,709.75 : x
  2. Step 2: Convert to fraction form
    16,161/23,709.75 = 23,709.75/x
  3. Step 3: Cross multiply
    16,161x = 23,709.75 × 23,709.75
  4. Step 4: Simplify right side
    16,161x = 562,152,245.06
  5. Step 5: Solve for x
    x = 562,152,245.06/16,161
  6. Step 6: Final answer
    x = 34,784.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.