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Finding the Third Proportional to 10,380 and 23,100

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Solution

The third proportional to 10,380 and 23,100 is: 51,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 23,100 = 23,100 : x
  2. Step 2: Convert to fraction form
    10,380/23,100 = 23,100/x
  3. Step 3: Cross multiply
    10,380x = 23,100 × 23,100
  4. Step 4: Simplify right side
    10,380x = 533,610,000
  5. Step 5: Solve for x
    x = 533,610,000/10,380
  6. Step 6: Final answer
    x = 51,407.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.