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Finding the Third Proportional to 23,024.25 and 27,276.75

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Solution

The third proportional to 23,024.25 and 27,276.75 is: 32,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.25 : 27,276.75 = 27,276.75 : x
  2. Step 2: Convert to fraction form
    23,024.25/27,276.75 = 27,276.75/x
  3. Step 3: Cross multiply
    23,024.25x = 27,276.75 × 27,276.75
  4. Step 4: Simplify right side
    23,024.25x = 744,021,090.56
  5. Step 5: Solve for x
    x = 744,021,090.56/23,024.25
  6. Step 6: Final answer
    x = 32,314.67

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.