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Finding the Third Proportional to 17,925 and 25,072.50

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Solution

The third proportional to 17,925 and 25,072.50 is: 35,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,925 : 25,072.50 = 25,072.50 : x
  2. Step 2: Convert to fraction form
    17,925/25,072.50 = 25,072.50/x
  3. Step 3: Cross multiply
    17,925x = 25,072.50 × 25,072.50
  4. Step 4: Simplify right side
    17,925x = 628,630,256.25
  5. Step 5: Solve for x
    x = 628,630,256.25/17,925
  6. Step 6: Final answer
    x = 35,070.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.