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Finding the Third Proportional to 39,732 and 57,946

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Solution

The third proportional to 39,732 and 57,946 is: 84,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,732 : 57,946 = 57,946 : x
  2. Step 2: Convert to fraction form
    39,732/57,946 = 57,946/x
  3. Step 3: Cross multiply
    39,732x = 57,946 × 57,946
  4. Step 4: Simplify right side
    39,732x = 3,357,738,916
  5. Step 5: Solve for x
    x = 3,357,738,916/39,732
  6. Step 6: Final answer
    x = 84,509.69

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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.