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Finding the Third Proportional to 6,830.58 and 14,709.09

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Solution

The third proportional to 6,830.58 and 14,709.09 is: 31,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.58 : 14,709.09 = 14,709.09 : x
  2. Step 2: Convert to fraction form
    6,830.58/14,709.09 = 14,709.09/x
  3. Step 3: Cross multiply
    6,830.58x = 14,709.09 × 14,709.09
  4. Step 4: Simplify right side
    6,830.58x = 216,357,438.95
  5. Step 5: Solve for x
    x = 216,357,438.95/6,830.58
  6. Step 6: Final answer
    x = 31,674.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.