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Finding the Third Proportional to 14,013 and 30,756.38

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Solution

The third proportional to 14,013 and 30,756.38 is: 67,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 30,756.38 = 30,756.38 : x
  2. Step 2: Convert to fraction form
    14,013/30,756.38 = 30,756.38/x
  3. Step 3: Cross multiply
    14,013x = 30,756.38 × 30,756.38
  4. Step 4: Simplify right side
    14,013x = 945,954,603.14
  5. Step 5: Solve for x
    x = 945,954,603.14/14,013
  6. Step 6: Final answer
    x = 67,505.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.