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Finding the Third Proportional to 7,424 and 17,396

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Solution

The third proportional to 7,424 and 17,396 is: 40,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424 : 17,396 = 17,396 : x
  2. Step 2: Convert to fraction form
    7,424/17,396 = 17,396/x
  3. Step 3: Cross multiply
    7,424x = 17,396 × 17,396
  4. Step 4: Simplify right side
    7,424x = 302,620,816
  5. Step 5: Solve for x
    x = 302,620,816/7,424
  6. Step 6: Final answer
    x = 40,762.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.