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Finding the Third Proportional to 6,384.94 and 13,935.94

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Solution

The third proportional to 6,384.94 and 13,935.94 is: 30,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.94 : 13,935.94 = 13,935.94 : x
  2. Step 2: Convert to fraction form
    6,384.94/13,935.94 = 13,935.94/x
  3. Step 3: Cross multiply
    6,384.94x = 13,935.94 × 13,935.94
  4. Step 4: Simplify right side
    6,384.94x = 194,210,354.00
  5. Step 5: Solve for x
    x = 194,210,354.00/6,384.94
  6. Step 6: Final answer
    x = 30,416.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.