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Finding the Third Proportional to 24,808.78 and 54,078.47

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Solution

The third proportional to 24,808.78 and 54,078.47 is: 117,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.78 : 54,078.47 = 54,078.47 : x
  2. Step 2: Convert to fraction form
    24,808.78/54,078.47 = 54,078.47/x
  3. Step 3: Cross multiply
    24,808.78x = 54,078.47 × 54,078.47
  4. Step 4: Simplify right side
    24,808.78x = 2,924,480,782.34
  5. Step 5: Solve for x
    x = 2,924,480,782.34/24,808.78
  6. Step 6: Final answer
    x = 117,880.87

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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.