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Finding the Third Proportional to 23,014.76 and 34,544.92

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Solution

The third proportional to 23,014.76 and 34,544.92 is: 51,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.76 : 34,544.92 = 34,544.92 : x
  2. Step 2: Convert to fraction form
    23,014.76/34,544.92 = 34,544.92/x
  3. Step 3: Cross multiply
    23,014.76x = 34,544.92 × 34,544.92
  4. Step 4: Simplify right side
    23,014.76x = 1,193,351,357.47
  5. Step 5: Solve for x
    x = 1,193,351,357.47/23,014.76
  6. Step 6: Final answer
    x = 51,851.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.