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Finding the Third Proportional to 13,334 and 28,686

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Solution

The third proportional to 13,334 and 28,686 is: 61,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334 : 28,686 = 28,686 : x
  2. Step 2: Convert to fraction form
    13,334/28,686 = 28,686/x
  3. Step 3: Cross multiply
    13,334x = 28,686 × 28,686
  4. Step 4: Simplify right side
    13,334x = 822,886,596
  5. Step 5: Solve for x
    x = 822,886,596/13,334
  6. Step 6: Final answer
    x = 61,713.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.