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Finding the Third Proportional to 6,868.55 and 14,830.59

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Solution

The third proportional to 6,868.55 and 14,830.59 is: 32,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.55 : 14,830.59 = 14,830.59 : x
  2. Step 2: Convert to fraction form
    6,868.55/14,830.59 = 14,830.59/x
  3. Step 3: Cross multiply
    6,868.55x = 14,830.59 × 14,830.59
  4. Step 4: Simplify right side
    6,868.55x = 219,946,510.98
  5. Step 5: Solve for x
    x = 219,946,510.98/6,868.55
  6. Step 6: Final answer
    x = 32,022.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.