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Finding the Third Proportional to 19,705.50 and 43,243.88

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Solution

The third proportional to 19,705.50 and 43,243.88 is: 94,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.50 : 43,243.88 = 43,243.88 : x
  2. Step 2: Convert to fraction form
    19,705.50/43,243.88 = 43,243.88/x
  3. Step 3: Cross multiply
    19,705.50x = 43,243.88 × 43,243.88
  4. Step 4: Simplify right side
    19,705.50x = 1,870,032,725.02
  5. Step 5: Solve for x
    x = 1,870,032,725.02/19,705.50
  6. Step 6: Final answer
    x = 94,899.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.