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Finding the Third Proportional to 25,474.50 and 54,032.06

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Solution

The third proportional to 25,474.50 and 54,032.06 is: 114,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474.50 : 54,032.06 = 54,032.06 : x
  2. Step 2: Convert to fraction form
    25,474.50/54,032.06 = 54,032.06/x
  3. Step 3: Cross multiply
    25,474.50x = 54,032.06 × 54,032.06
  4. Step 4: Simplify right side
    25,474.50x = 2,919,463,778.00
  5. Step 5: Solve for x
    x = 2,919,463,778.00/25,474.50
  6. Step 6: Final answer
    x = 114,603.38

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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.