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Finding the Third Proportional to 9,298 and 13,004

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Solution

The third proportional to 9,298 and 13,004 is: 18,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298 : 13,004 = 13,004 : x
  2. Step 2: Convert to fraction form
    9,298/13,004 = 13,004/x
  3. Step 3: Cross multiply
    9,298x = 13,004 × 13,004
  4. Step 4: Simplify right side
    9,298x = 169,104,016
  5. Step 5: Solve for x
    x = 169,104,016/9,298
  6. Step 6: Final answer
    x = 18,187.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.