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Finding the Third Proportional to 17,907 and 37,615.50

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Solution

The third proportional to 17,907 and 37,615.50 is: 79,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907 : 37,615.50 = 37,615.50 : x
  2. Step 2: Convert to fraction form
    17,907/37,615.50 = 37,615.50/x
  3. Step 3: Cross multiply
    17,907x = 37,615.50 × 37,615.50
  4. Step 4: Simplify right side
    17,907x = 1,414,925,840.25
  5. Step 5: Solve for x
    x = 1,414,925,840.25/17,907
  6. Step 6: Final answer
    x = 79,015.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.