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Finding the Third Proportional to 9,584 and 11,648

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Solution

The third proportional to 9,584 and 11,648 is: 14,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584 : 11,648 = 11,648 : x
  2. Step 2: Convert to fraction form
    9,584/11,648 = 11,648/x
  3. Step 3: Cross multiply
    9,584x = 11,648 × 11,648
  4. Step 4: Simplify right side
    9,584x = 135,675,904
  5. Step 5: Solve for x
    x = 135,675,904/9,584
  6. Step 6: Final answer
    x = 14,156.50

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.