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Finding the Third Proportional to 24,683.84 and 54,194.38

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Solution

The third proportional to 24,683.84 and 54,194.38 is: 118,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,683.84 : 54,194.38 = 54,194.38 : x
  2. Step 2: Convert to fraction form
    24,683.84/54,194.38 = 54,194.38/x
  3. Step 3: Cross multiply
    24,683.84x = 54,194.38 × 54,194.38
  4. Step 4: Simplify right side
    24,683.84x = 2,937,030,281.64
  5. Step 5: Solve for x
    x = 2,937,030,281.64/24,683.84
  6. Step 6: Final answer
    x = 118,985.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.