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Finding the Third Proportional to 15,981 and 25,015.50

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Solution

The third proportional to 15,981 and 25,015.50 is: 39,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981 : 25,015.50 = 25,015.50 : x
  2. Step 2: Convert to fraction form
    15,981/25,015.50 = 25,015.50/x
  3. Step 3: Cross multiply
    15,981x = 25,015.50 × 25,015.50
  4. Step 4: Simplify right side
    15,981x = 625,775,240.25
  5. Step 5: Solve for x
    x = 625,775,240.25/15,981
  6. Step 6: Final answer
    x = 39,157.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.