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Finding the Third Proportional to 7,367.63 and 14,968.13

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Solution

The third proportional to 7,367.63 and 14,968.13 is: 30,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.63 : 14,968.13 = 14,968.13 : x
  2. Step 2: Convert to fraction form
    7,367.63/14,968.13 = 14,968.13/x
  3. Step 3: Cross multiply
    7,367.63x = 14,968.13 × 14,968.13
  4. Step 4: Simplify right side
    7,367.63x = 224,044,766.02
  5. Step 5: Solve for x
    x = 224,044,766.02/7,367.63
  6. Step 6: Final answer
    x = 30,409.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.