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Finding the Third Proportional to 25,546 and 54,184

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Solution

The third proportional to 25,546 and 54,184 is: 114,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546 : 54,184 = 54,184 : x
  2. Step 2: Convert to fraction form
    25,546/54,184 = 54,184/x
  3. Step 3: Cross multiply
    25,546x = 54,184 × 54,184
  4. Step 4: Simplify right side
    25,546x = 2,935,905,856
  5. Step 5: Solve for x
    x = 2,935,905,856/25,546
  6. Step 6: Final answer
    x = 114,926.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.