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Finding the Third Proportional to 10,014 and 23,214

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Solution

The third proportional to 10,014 and 23,214 is: 53,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014 : 23,214 = 23,214 : x
  2. Step 2: Convert to fraction form
    10,014/23,214 = 23,214/x
  3. Step 3: Cross multiply
    10,014x = 23,214 × 23,214
  4. Step 4: Simplify right side
    10,014x = 538,889,796
  5. Step 5: Solve for x
    x = 538,889,796/10,014
  6. Step 6: Final answer
    x = 53,813.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.