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Finding the Third Proportional to 19,706.63 and 43,786.13

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Solution

The third proportional to 19,706.63 and 43,786.13 is: 97,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.63 : 43,786.13 = 43,786.13 : x
  2. Step 2: Convert to fraction form
    19,706.63/43,786.13 = 43,786.13/x
  3. Step 3: Cross multiply
    19,706.63x = 43,786.13 × 43,786.13
  4. Step 4: Simplify right side
    19,706.63x = 1,917,224,742.52
  5. Step 5: Solve for x
    x = 1,917,224,742.52/19,706.63
  6. Step 6: Final answer
    x = 97,288.34

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.