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Finding the Third Proportional to 6,783.19 and 14,880.94

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Solution

The third proportional to 6,783.19 and 14,880.94 is: 32,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.19 : 14,880.94 = 14,880.94 : x
  2. Step 2: Convert to fraction form
    6,783.19/14,880.94 = 14,880.94/x
  3. Step 3: Cross multiply
    6,783.19x = 14,880.94 × 14,880.94
  4. Step 4: Simplify right side
    6,783.19x = 221,442,300.88
  5. Step 5: Solve for x
    x = 221,442,300.88/6,783.19
  6. Step 6: Final answer
    x = 32,645.76

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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.