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Finding the Third Proportional to 15,811 and 23,065

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Solution

The third proportional to 15,811 and 23,065 is: 33,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811 : 23,065 = 23,065 : x
  2. Step 2: Convert to fraction form
    15,811/23,065 = 23,065/x
  3. Step 3: Cross multiply
    15,811x = 23,065 × 23,065
  4. Step 4: Simplify right side
    15,811x = 531,994,225
  5. Step 5: Solve for x
    x = 531,994,225/15,811
  6. Step 6: Final answer
    x = 33,647.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.