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Finding the Third Proportional to 7,872 and 13,968

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Solution

The third proportional to 7,872 and 13,968 is: 24,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 13,968 = 13,968 : x
  2. Step 2: Convert to fraction form
    7,872/13,968 = 13,968/x
  3. Step 3: Cross multiply
    7,872x = 13,968 × 13,968
  4. Step 4: Simplify right side
    7,872x = 195,105,024
  5. Step 5: Solve for x
    x = 195,105,024/7,872
  6. Step 6: Final answer
    x = 24,784.68

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.