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Finding the Third Proportional to 19,882.50 and 43,271.25

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Solution

The third proportional to 19,882.50 and 43,271.25 is: 94,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.50 : 43,271.25 = 43,271.25 : x
  2. Step 2: Convert to fraction form
    19,882.50/43,271.25 = 43,271.25/x
  3. Step 3: Cross multiply
    19,882.50x = 43,271.25 × 43,271.25
  4. Step 4: Simplify right side
    19,882.50x = 1,872,401,076.56
  5. Step 5: Solve for x
    x = 1,872,401,076.56/19,882.50
  6. Step 6: Final answer
    x = 94,173.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.