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Finding the Third Proportional to 6,454.69 and 14,137.88

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Solution

The third proportional to 6,454.69 and 14,137.88 is: 30,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.69 : 14,137.88 = 14,137.88 : x
  2. Step 2: Convert to fraction form
    6,454.69/14,137.88 = 14,137.88/x
  3. Step 3: Cross multiply
    6,454.69x = 14,137.88 × 14,137.88
  4. Step 4: Simplify right side
    6,454.69x = 199,879,509.52
  5. Step 5: Solve for x
    x = 199,879,509.52/6,454.69
  6. Step 6: Final answer
    x = 30,966.57

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Why These Related Problems?

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