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Finding the Third Proportional to 6,312.94 and 14,658.47

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Solution

The third proportional to 6,312.94 and 14,658.47 is: 34,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.94 : 14,658.47 = 14,658.47 : x
  2. Step 2: Convert to fraction form
    6,312.94/14,658.47 = 14,658.47/x
  3. Step 3: Cross multiply
    6,312.94x = 14,658.47 × 14,658.47
  4. Step 4: Simplify right side
    6,312.94x = 214,870,706.09
  5. Step 5: Solve for x
    x = 214,870,706.09/6,312.94
  6. Step 6: Final answer
    x = 34,036.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.