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Finding the Third Proportional to 9,905 and 13,456

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Solution

The third proportional to 9,905 and 13,456 is: 18,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905 : 13,456 = 13,456 : x
  2. Step 2: Convert to fraction form
    9,905/13,456 = 13,456/x
  3. Step 3: Cross multiply
    9,905x = 13,456 × 13,456
  4. Step 4: Simplify right side
    9,905x = 181,063,936
  5. Step 5: Solve for x
    x = 181,063,936/9,905
  6. Step 6: Final answer
    x = 18,280.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.