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Finding the Third Proportional to 25,009.50 and 35,173.50

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Solution

The third proportional to 25,009.50 and 35,173.50 is: 49,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009.50 : 35,173.50 = 35,173.50 : x
  2. Step 2: Convert to fraction form
    25,009.50/35,173.50 = 35,173.50/x
  3. Step 3: Cross multiply
    25,009.50x = 35,173.50 × 35,173.50
  4. Step 4: Simplify right side
    25,009.50x = 1,237,175,102.25
  5. Step 5: Solve for x
    x = 1,237,175,102.25/25,009.50
  6. Step 6: Final answer
    x = 49,468.21

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.