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Finding the Third Proportional to 13,314.38 and 28,679.06

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Solution

The third proportional to 13,314.38 and 28,679.06 is: 61,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.38 : 28,679.06 = 28,679.06 : x
  2. Step 2: Convert to fraction form
    13,314.38/28,679.06 = 28,679.06/x
  3. Step 3: Cross multiply
    13,314.38x = 28,679.06 × 28,679.06
  4. Step 4: Simplify right side
    13,314.38x = 822,488,625.88
  5. Step 5: Solve for x
    x = 822,488,625.88/13,314.38
  6. Step 6: Final answer
    x = 61,774.48

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