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Finding the Third Proportional to 9,840 and 13,724

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Solution

The third proportional to 9,840 and 13,724 is: 19,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840 : 13,724 = 13,724 : x
  2. Step 2: Convert to fraction form
    9,840/13,724 = 13,724/x
  3. Step 3: Cross multiply
    9,840x = 13,724 × 13,724
  4. Step 4: Simplify right side
    9,840x = 188,348,176
  5. Step 5: Solve for x
    x = 188,348,176/9,840
  6. Step 6: Final answer
    x = 19,141.07

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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.