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Finding the Third Proportional to 25,492.25 and 54,676

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Solution

The third proportional to 25,492.25 and 54,676 is: 117,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492.25 : 54,676 = 54,676 : x
  2. Step 2: Convert to fraction form
    25,492.25/54,676 = 54,676/x
  3. Step 3: Cross multiply
    25,492.25x = 54,676 × 54,676
  4. Step 4: Simplify right side
    25,492.25x = 2,989,464,976
  5. Step 5: Solve for x
    x = 2,989,464,976/25,492.25
  6. Step 6: Final answer
    x = 117,269.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.