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Finding the Third Proportional to 7,274.34 and 14,854.80

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Solution

The third proportional to 7,274.34 and 14,854.80 is: 30,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.34 : 14,854.80 = 14,854.80 : x
  2. Step 2: Convert to fraction form
    7,274.34/14,854.80 = 14,854.80/x
  3. Step 3: Cross multiply
    7,274.34x = 14,854.80 × 14,854.80
  4. Step 4: Simplify right side
    7,274.34x = 220,665,048.22
  5. Step 5: Solve for x
    x = 220,665,048.22/7,274.34
  6. Step 6: Final answer
    x = 30,334.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.