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Finding the Third Proportional to 11,046.06 and 18,051.29

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Solution

The third proportional to 11,046.06 and 18,051.29 is: 29,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.06 : 18,051.29 = 18,051.29 : x
  2. Step 2: Convert to fraction form
    11,046.06/18,051.29 = 18,051.29/x
  3. Step 3: Cross multiply
    11,046.06x = 18,051.29 × 18,051.29
  4. Step 4: Simplify right side
    11,046.06x = 325,849,177.84
  5. Step 5: Solve for x
    x = 325,849,177.84/11,046.06
  6. Step 6: Final answer
    x = 29,499.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.