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Finding the Third Proportional to 9,226.41 and 14,313.74

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Solution

The third proportional to 9,226.41 and 14,313.74 is: 22,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.41 : 14,313.74 = 14,313.74 : x
  2. Step 2: Convert to fraction form
    9,226.41/14,313.74 = 14,313.74/x
  3. Step 3: Cross multiply
    9,226.41x = 14,313.74 × 14,313.74
  4. Step 4: Simplify right side
    9,226.41x = 204,883,271.32
  5. Step 5: Solve for x
    x = 204,883,271.32/9,226.41
  6. Step 6: Final answer
    x = 22,206.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.