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Finding the Third Proportional to 9,648 and 13,440

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Solution

The third proportional to 9,648 and 13,440 is: 18,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648 : 13,440 = 13,440 : x
  2. Step 2: Convert to fraction form
    9,648/13,440 = 13,440/x
  3. Step 3: Cross multiply
    9,648x = 13,440 × 13,440
  4. Step 4: Simplify right side
    9,648x = 180,633,600
  5. Step 5: Solve for x
    x = 180,633,600/9,648
  6. Step 6: Final answer
    x = 18,722.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.