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Finding the Third Proportional to 6,757.49 and 14,830.59

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Solution

The third proportional to 6,757.49 and 14,830.59 is: 32,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.49 : 14,830.59 = 14,830.59 : x
  2. Step 2: Convert to fraction form
    6,757.49/14,830.59 = 14,830.59/x
  3. Step 3: Cross multiply
    6,757.49x = 14,830.59 × 14,830.59
  4. Step 4: Simplify right side
    6,757.49x = 219,946,510.98
  5. Step 5: Solve for x
    x = 219,946,510.98/6,757.49
  6. Step 6: Final answer
    x = 32,548.56

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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.