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Finding the Third Proportional to 19,673.39 and 29,659.05

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Solution

The third proportional to 19,673.39 and 29,659.05 is: 44,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.39 : 29,659.05 = 29,659.05 : x
  2. Step 2: Convert to fraction form
    19,673.39/29,659.05 = 29,659.05/x
  3. Step 3: Cross multiply
    19,673.39x = 29,659.05 × 29,659.05
  4. Step 4: Simplify right side
    19,673.39x = 879,659,351.17
  5. Step 5: Solve for x
    x = 879,659,351.17/19,673.39
  6. Step 6: Final answer
    x = 44,713.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.