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Finding the Third Proportional to 25,094.50 and 36,949.25

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Solution

The third proportional to 25,094.50 and 36,949.25 is: 54,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094.50 : 36,949.25 = 36,949.25 : x
  2. Step 2: Convert to fraction form
    25,094.50/36,949.25 = 36,949.25/x
  3. Step 3: Cross multiply
    25,094.50x = 36,949.25 × 36,949.25
  4. Step 4: Simplify right side
    25,094.50x = 1,365,247,075.56
  5. Step 5: Solve for x
    x = 1,365,247,075.56/25,094.50
  6. Step 6: Final answer
    x = 54,404.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.