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Finding the Third Proportional to 24,735.94 and 52,980.19

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Solution

The third proportional to 24,735.94 and 52,980.19 is: 113,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.94 : 52,980.19 = 52,980.19 : x
  2. Step 2: Convert to fraction form
    24,735.94/52,980.19 = 52,980.19/x
  3. Step 3: Cross multiply
    24,735.94x = 52,980.19 × 52,980.19
  4. Step 4: Simplify right side
    24,735.94x = 2,806,900,267.54
  5. Step 5: Solve for x
    x = 2,806,900,267.54/24,735.94
  6. Step 6: Final answer
    x = 113,474.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.