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Finding the Third Proportional to 19,200 and 27,968

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Solution

The third proportional to 19,200 and 27,968 is: 40,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 27,968 = 27,968 : x
  2. Step 2: Convert to fraction form
    19,200/27,968 = 27,968/x
  3. Step 3: Cross multiply
    19,200x = 27,968 × 27,968
  4. Step 4: Simplify right side
    19,200x = 782,209,024
  5. Step 5: Solve for x
    x = 782,209,024/19,200
  6. Step 6: Final answer
    x = 40,740.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.