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Finding the Third Proportional to 10,266 and 14,303.25

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Solution

The third proportional to 10,266 and 14,303.25 is: 19,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266 : 14,303.25 = 14,303.25 : x
  2. Step 2: Convert to fraction form
    10,266/14,303.25 = 14,303.25/x
  3. Step 3: Cross multiply
    10,266x = 14,303.25 × 14,303.25
  4. Step 4: Simplify right side
    10,266x = 204,582,960.56
  5. Step 5: Solve for x
    x = 204,582,960.56/10,266
  6. Step 6: Final answer
    x = 19,928.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.