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Finding the Third Proportional to 7,400.35 and 11,014.02

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Solution

The third proportional to 7,400.35 and 11,014.02 is: 16,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.35 : 11,014.02 = 11,014.02 : x
  2. Step 2: Convert to fraction form
    7,400.35/11,014.02 = 11,014.02/x
  3. Step 3: Cross multiply
    7,400.35x = 11,014.02 × 11,014.02
  4. Step 4: Simplify right side
    7,400.35x = 121,308,690.77
  5. Step 5: Solve for x
    x = 121,308,690.77/7,400.35
  6. Step 6: Final answer
    x = 16,392.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.