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Finding the Third Proportional to 10,861 and 23,807

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Solution

The third proportional to 10,861 and 23,807 is: 52,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861 : 23,807 = 23,807 : x
  2. Step 2: Convert to fraction form
    10,861/23,807 = 23,807/x
  3. Step 3: Cross multiply
    10,861x = 23,807 × 23,807
  4. Step 4: Simplify right side
    10,861x = 566,773,249
  5. Step 5: Solve for x
    x = 566,773,249/10,861
  6. Step 6: Final answer
    x = 52,184.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.