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Finding the Third Proportional to 39,652 and 57,988

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Solution

The third proportional to 39,652 and 57,988 is: 84,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652 : 57,988 = 57,988 : x
  2. Step 2: Convert to fraction form
    39,652/57,988 = 57,988/x
  3. Step 3: Cross multiply
    39,652x = 57,988 × 57,988
  4. Step 4: Simplify right side
    39,652x = 3,362,608,144
  5. Step 5: Solve for x
    x = 3,362,608,144/39,652
  6. Step 6: Final answer
    x = 84,802.99

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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.