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Finding the Third Proportional to 39,412.50 and 83,937

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Solution

The third proportional to 39,412.50 and 83,937 is: 178,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412.50 : 83,937 = 83,937 : x
  2. Step 2: Convert to fraction form
    39,412.50/83,937 = 83,937/x
  3. Step 3: Cross multiply
    39,412.50x = 83,937 × 83,937
  4. Step 4: Simplify right side
    39,412.50x = 7,045,419,969
  5. Step 5: Solve for x
    x = 7,045,419,969/39,412.50
  6. Step 6: Final answer
    x = 178,761.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.