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Finding the Third Proportional to 23,293.50 and 50,275

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Solution

The third proportional to 23,293.50 and 50,275 is: 108,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.50 : 50,275 = 50,275 : x
  2. Step 2: Convert to fraction form
    23,293.50/50,275 = 50,275/x
  3. Step 3: Cross multiply
    23,293.50x = 50,275 × 50,275
  4. Step 4: Simplify right side
    23,293.50x = 2,527,575,625
  5. Step 5: Solve for x
    x = 2,527,575,625/23,293.50
  6. Step 6: Final answer
    x = 108,509.91

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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.