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Finding the Third Proportional to 5,288 and 11,584

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Solution

The third proportional to 5,288 and 11,584 is: 25,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288 : 11,584 = 11,584 : x
  2. Step 2: Convert to fraction form
    5,288/11,584 = 11,584/x
  3. Step 3: Cross multiply
    5,288x = 11,584 × 11,584
  4. Step 4: Simplify right side
    5,288x = 134,189,056
  5. Step 5: Solve for x
    x = 134,189,056/5,288
  6. Step 6: Final answer
    x = 25,376.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.