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Finding the Third Proportional to 11,009.04 and 12,199.36

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Solution

The third proportional to 11,009.04 and 12,199.36 is: 13,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.04 : 12,199.36 = 12,199.36 : x
  2. Step 2: Convert to fraction form
    11,009.04/12,199.36 = 12,199.36/x
  3. Step 3: Cross multiply
    11,009.04x = 12,199.36 × 12,199.36
  4. Step 4: Simplify right side
    11,009.04x = 148,824,369.16
  5. Step 5: Solve for x
    x = 148,824,369.16/11,009.04
  6. Step 6: Final answer
    x = 13,518.38

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.