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Finding the Third Proportional to 19,758.50 and 43,205.25

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Solution

The third proportional to 19,758.50 and 43,205.25 is: 94,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.50 : 43,205.25 = 43,205.25 : x
  2. Step 2: Convert to fraction form
    19,758.50/43,205.25 = 43,205.25/x
  3. Step 3: Cross multiply
    19,758.50x = 43,205.25 × 43,205.25
  4. Step 4: Simplify right side
    19,758.50x = 1,866,693,627.56
  5. Step 5: Solve for x
    x = 1,866,693,627.56/19,758.50
  6. Step 6: Final answer
    x = 94,475.47

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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.