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Finding the Third Proportional to 13,106.75 and 28,517.38

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Solution

The third proportional to 13,106.75 and 28,517.38 is: 62,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.75 : 28,517.38 = 28,517.38 : x
  2. Step 2: Convert to fraction form
    13,106.75/28,517.38 = 28,517.38/x
  3. Step 3: Cross multiply
    13,106.75x = 28,517.38 × 28,517.38
  4. Step 4: Simplify right side
    13,106.75x = 813,240,676.89
  5. Step 5: Solve for x
    x = 813,240,676.89/13,106.75
  6. Step 6: Final answer
    x = 62,047.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.