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Finding the Third Proportional to 13,219 and 28,616

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Solution

The third proportional to 13,219 and 28,616 is: 61,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219 : 28,616 = 28,616 : x
  2. Step 2: Convert to fraction form
    13,219/28,616 = 28,616/x
  3. Step 3: Cross multiply
    13,219x = 28,616 × 28,616
  4. Step 4: Simplify right side
    13,219x = 818,875,456
  5. Step 5: Solve for x
    x = 818,875,456/13,219
  6. Step 6: Final answer
    x = 61,946.85

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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.