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Finding the Third Proportional to 15,426.75 and 23,076.75

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Solution

The third proportional to 15,426.75 and 23,076.75 is: 34,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426.75 : 23,076.75 = 23,076.75 : x
  2. Step 2: Convert to fraction form
    15,426.75/23,076.75 = 23,076.75/x
  3. Step 3: Cross multiply
    15,426.75x = 23,076.75 × 23,076.75
  4. Step 4: Simplify right side
    15,426.75x = 532,536,390.56
  5. Step 5: Solve for x
    x = 532,536,390.56/15,426.75
  6. Step 6: Final answer
    x = 34,520.32

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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.