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Finding the Third Proportional to 43,436.25 and 58,097.25

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Solution

The third proportional to 43,436.25 and 58,097.25 is: 77,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,436.25 : 58,097.25 = 58,097.25 : x
  2. Step 2: Convert to fraction form
    43,436.25/58,097.25 = 58,097.25/x
  3. Step 3: Cross multiply
    43,436.25x = 58,097.25 × 58,097.25
  4. Step 4: Simplify right side
    43,436.25x = 3,375,290,457.56
  5. Step 5: Solve for x
    x = 3,375,290,457.56/43,436.25
  6. Step 6: Final answer
    x = 77,706.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.