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Finding the Third Proportional to 34,605.56 and 54,216

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Solution

The third proportional to 34,605.56 and 54,216 is: 84,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605.56 : 54,216 = 54,216 : x
  2. Step 2: Convert to fraction form
    34,605.56/54,216 = 54,216/x
  3. Step 3: Cross multiply
    34,605.56x = 54,216 × 54,216
  4. Step 4: Simplify right side
    34,605.56x = 2,939,374,656
  5. Step 5: Solve for x
    x = 2,939,374,656/34,605.56
  6. Step 6: Final answer
    x = 84,939.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.