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Finding the Third Proportional to 23,430 and 50,602

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Solution

The third proportional to 23,430 and 50,602 is: 109,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,430 : 50,602 = 50,602 : x
  2. Step 2: Convert to fraction form
    23,430/50,602 = 50,602/x
  3. Step 3: Cross multiply
    23,430x = 50,602 × 50,602
  4. Step 4: Simplify right side
    23,430x = 2,560,562,404
  5. Step 5: Solve for x
    x = 2,560,562,404/23,430
  6. Step 6: Final answer
    x = 109,285.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.