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Finding the Third Proportional to 25,825.50 and 54,750

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Solution

The third proportional to 25,825.50 and 54,750 is: 116,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.50 : 54,750 = 54,750 : x
  2. Step 2: Convert to fraction form
    25,825.50/54,750 = 54,750/x
  3. Step 3: Cross multiply
    25,825.50x = 54,750 × 54,750
  4. Step 4: Simplify right side
    25,825.50x = 2,997,562,500
  5. Step 5: Solve for x
    x = 2,997,562,500/25,825.50
  6. Step 6: Final answer
    x = 116,069.87

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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.