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Finding the Third Proportional to 13,880.74 and 30,462.01

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Solution

The third proportional to 13,880.74 and 30,462.01 is: 66,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.74 : 30,462.01 = 30,462.01 : x
  2. Step 2: Convert to fraction form
    13,880.74/30,462.01 = 30,462.01/x
  3. Step 3: Cross multiply
    13,880.74x = 30,462.01 × 30,462.01
  4. Step 4: Simplify right side
    13,880.74x = 927,934,157.95
  5. Step 5: Solve for x
    x = 927,934,157.95/13,880.74
  6. Step 6: Final answer
    x = 66,850.47

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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.