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Finding the Third Proportional to 11,356 and 13,004

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Solution

The third proportional to 11,356 and 13,004 is: 14,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356 : 13,004 = 13,004 : x
  2. Step 2: Convert to fraction form
    11,356/13,004 = 13,004/x
  3. Step 3: Cross multiply
    11,356x = 13,004 × 13,004
  4. Step 4: Simplify right side
    11,356x = 169,104,016
  5. Step 5: Solve for x
    x = 169,104,016/11,356
  6. Step 6: Final answer
    x = 14,891.16

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.