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Finding the Third Proportional to 18,157.50 and 25,004

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Solution

The third proportional to 18,157.50 and 25,004 is: 34,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,157.50 : 25,004 = 25,004 : x
  2. Step 2: Convert to fraction form
    18,157.50/25,004 = 25,004/x
  3. Step 3: Cross multiply
    18,157.50x = 25,004 × 25,004
  4. Step 4: Simplify right side
    18,157.50x = 625,200,016
  5. Step 5: Solve for x
    x = 625,200,016/18,157.50
  6. Step 6: Final answer
    x = 34,432.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.