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Finding the Third Proportional to 22,362 and 23,968.50

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Solution

The third proportional to 22,362 and 23,968.50 is: 25,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362 : 23,968.50 = 23,968.50 : x
  2. Step 2: Convert to fraction form
    22,362/23,968.50 = 23,968.50/x
  3. Step 3: Cross multiply
    22,362x = 23,968.50 × 23,968.50
  4. Step 4: Simplify right side
    22,362x = 574,488,992.25
  5. Step 5: Solve for x
    x = 574,488,992.25/22,362
  6. Step 6: Final answer
    x = 25,690.41

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.