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Finding the Third Proportional to 39,464.50 and 84,545

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Solution

The third proportional to 39,464.50 and 84,545 is: 181,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,464.50 : 84,545 = 84,545 : x
  2. Step 2: Convert to fraction form
    39,464.50/84,545 = 84,545/x
  3. Step 3: Cross multiply
    39,464.50x = 84,545 × 84,545
  4. Step 4: Simplify right side
    39,464.50x = 7,147,857,025
  5. Step 5: Solve for x
    x = 7,147,857,025/39,464.50
  6. Step 6: Final answer
    x = 181,121.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.