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Finding the Third Proportional to 12,284 and 26,584

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Solution

The third proportional to 12,284 and 26,584 is: 57,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 26,584 = 26,584 : x
  2. Step 2: Convert to fraction form
    12,284/26,584 = 26,584/x
  3. Step 3: Cross multiply
    12,284x = 26,584 × 26,584
  4. Step 4: Simplify right side
    12,284x = 706,709,056
  5. Step 5: Solve for x
    x = 706,709,056/12,284
  6. Step 6: Final answer
    x = 57,530.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.