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Finding the Third Proportional to 22,824 and 34,290

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Solution

The third proportional to 22,824 and 34,290 is: 51,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824 : 34,290 = 34,290 : x
  2. Step 2: Convert to fraction form
    22,824/34,290 = 34,290/x
  3. Step 3: Cross multiply
    22,824x = 34,290 × 34,290
  4. Step 4: Simplify right side
    22,824x = 1,175,804,100
  5. Step 5: Solve for x
    x = 1,175,804,100/22,824
  6. Step 6: Final answer
    x = 51,516.13

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