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Finding the Third Proportional to 19,004.06 and 29,811.38

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Solution

The third proportional to 19,004.06 and 29,811.38 is: 46,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,004.06 : 29,811.38 = 29,811.38 : x
  2. Step 2: Convert to fraction form
    19,004.06/29,811.38 = 29,811.38/x
  3. Step 3: Cross multiply
    19,004.06x = 29,811.38 × 29,811.38
  4. Step 4: Simplify right side
    19,004.06x = 888,718,079.39
  5. Step 5: Solve for x
    x = 888,718,079.39/19,004.06
  6. Step 6: Final answer
    x = 46,764.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.