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Finding the Third Proportional to 24,861 and 54,094.50

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Solution

The third proportional to 24,861 and 54,094.50 is: 117,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861 : 54,094.50 = 54,094.50 : x
  2. Step 2: Convert to fraction form
    24,861/54,094.50 = 54,094.50/x
  3. Step 3: Cross multiply
    24,861x = 54,094.50 × 54,094.50
  4. Step 4: Simplify right side
    24,861x = 2,926,214,930.25
  5. Step 5: Solve for x
    x = 2,926,214,930.25/24,861
  6. Step 6: Final answer
    x = 117,703.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.