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Finding the Third Proportional to 13,946.63 and 30,657.38

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Solution

The third proportional to 13,946.63 and 30,657.38 is: 67,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.63 : 30,657.38 = 30,657.38 : x
  2. Step 2: Convert to fraction form
    13,946.63/30,657.38 = 30,657.38/x
  3. Step 3: Cross multiply
    13,946.63x = 30,657.38 × 30,657.38
  4. Step 4: Simplify right side
    13,946.63x = 939,874,641.89
  5. Step 5: Solve for x
    x = 939,874,641.89/13,946.63
  6. Step 6: Final answer
    x = 67,390.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.