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Finding the Third Proportional to 24,984.56 and 53,674.88

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Solution

The third proportional to 24,984.56 and 53,674.88 is: 115,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,984.56 : 53,674.88 = 53,674.88 : x
  2. Step 2: Convert to fraction form
    24,984.56/53,674.88 = 53,674.88/x
  3. Step 3: Cross multiply
    24,984.56x = 53,674.88 × 53,674.88
  4. Step 4: Simplify right side
    24,984.56x = 2,880,992,206.27
  5. Step 5: Solve for x
    x = 2,880,992,206.27/24,984.56
  6. Step 6: Final answer
    x = 115,310.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.