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Finding the Third Proportional to 22,706 and 34,090

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Solution

The third proportional to 22,706 and 34,090 is: 51,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706 : 34,090 = 34,090 : x
  2. Step 2: Convert to fraction form
    22,706/34,090 = 34,090/x
  3. Step 3: Cross multiply
    22,706x = 34,090 × 34,090
  4. Step 4: Simplify right side
    22,706x = 1,162,128,100
  5. Step 5: Solve for x
    x = 1,162,128,100/22,706
  6. Step 6: Final answer
    x = 51,181.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.