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Finding the Third Proportional to 15,380 and 21,993.38

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Solution

The third proportional to 15,380 and 21,993.38 is: 31,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380 : 21,993.38 = 21,993.38 : x
  2. Step 2: Convert to fraction form
    15,380/21,993.38 = 21,993.38/x
  3. Step 3: Cross multiply
    15,380x = 21,993.38 × 21,993.38
  4. Step 4: Simplify right side
    15,380x = 483,708,543.89
  5. Step 5: Solve for x
    x = 483,708,543.89/15,380
  6. Step 6: Final answer
    x = 31,450.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.