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Finding the Third Proportional to 23,024 and 49,315

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Solution

The third proportional to 23,024 and 49,315 is: 105,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024 : 49,315 = 49,315 : x
  2. Step 2: Convert to fraction form
    23,024/49,315 = 49,315/x
  3. Step 3: Cross multiply
    23,024x = 49,315 × 49,315
  4. Step 4: Simplify right side
    23,024x = 2,431,969,225
  5. Step 5: Solve for x
    x = 2,431,969,225/23,024
  6. Step 6: Final answer
    x = 105,627.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.