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Finding the Third Proportional to 39,022.50 and 84,201

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Solution

The third proportional to 39,022.50 and 84,201 is: 181,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,022.50 : 84,201 = 84,201 : x
  2. Step 2: Convert to fraction form
    39,022.50/84,201 = 84,201/x
  3. Step 3: Cross multiply
    39,022.50x = 84,201 × 84,201
  4. Step 4: Simplify right side
    39,022.50x = 7,089,808,401
  5. Step 5: Solve for x
    x = 7,089,808,401/39,022.50
  6. Step 6: Final answer
    x = 181,685.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.