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Finding the Third Proportional to 9,305 and 13,426

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Solution

The third proportional to 9,305 and 13,426 is: 19,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305 : 13,426 = 13,426 : x
  2. Step 2: Convert to fraction form
    9,305/13,426 = 13,426/x
  3. Step 3: Cross multiply
    9,305x = 13,426 × 13,426
  4. Step 4: Simplify right side
    9,305x = 180,257,476
  5. Step 5: Solve for x
    x = 180,257,476/9,305
  6. Step 6: Final answer
    x = 19,372.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.