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Finding the Third Proportional to 15,024.23 and 23,356.48

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Solution

The third proportional to 15,024.23 and 23,356.48 is: 36,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024.23 : 23,356.48 = 23,356.48 : x
  2. Step 2: Convert to fraction form
    15,024.23/23,356.48 = 23,356.48/x
  3. Step 3: Cross multiply
    15,024.23x = 23,356.48 × 23,356.48
  4. Step 4: Simplify right side
    15,024.23x = 545,524,997.41
  5. Step 5: Solve for x
    x = 545,524,997.41/15,024.23
  6. Step 6: Final answer
    x = 36,309.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.