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Finding the Third Proportional to 22,888 and 47,245

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Solution

The third proportional to 22,888 and 47,245 is: 97,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,888 : 47,245 = 47,245 : x
  2. Step 2: Convert to fraction form
    22,888/47,245 = 47,245/x
  3. Step 3: Cross multiply
    22,888x = 47,245 × 47,245
  4. Step 4: Simplify right side
    22,888x = 2,232,090,025
  5. Step 5: Solve for x
    x = 2,232,090,025/22,888
  6. Step 6: Final answer
    x = 97,522.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.