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Finding the Third Proportional to 39,548.25 and 57,834

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Solution

The third proportional to 39,548.25 and 57,834 is: 84,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,548.25 : 57,834 = 57,834 : x
  2. Step 2: Convert to fraction form
    39,548.25/57,834 = 57,834/x
  3. Step 3: Cross multiply
    39,548.25x = 57,834 × 57,834
  4. Step 4: Simplify right side
    39,548.25x = 3,344,771,556
  5. Step 5: Solve for x
    x = 3,344,771,556/39,548.25
  6. Step 6: Final answer
    x = 84,574.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.