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Finding the Third Proportional to 6,479.63 and 13,880.63

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Solution

The third proportional to 6,479.63 and 13,880.63 is: 29,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.63 : 13,880.63 = 13,880.63 : x
  2. Step 2: Convert to fraction form
    6,479.63/13,880.63 = 13,880.63/x
  3. Step 3: Cross multiply
    6,479.63x = 13,880.63 × 13,880.63
  4. Step 4: Simplify right side
    6,479.63x = 192,671,750.39
  5. Step 5: Solve for x
    x = 192,671,750.39/6,479.63
  6. Step 6: Final answer
    x = 29,735.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.