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Finding the Third Proportional to 39,664 and 57,312

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Solution

The third proportional to 39,664 and 57,312 is: 82,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,664 : 57,312 = 57,312 : x
  2. Step 2: Convert to fraction form
    39,664/57,312 = 57,312/x
  3. Step 3: Cross multiply
    39,664x = 57,312 × 57,312
  4. Step 4: Simplify right side
    39,664x = 3,284,665,344
  5. Step 5: Solve for x
    x = 3,284,665,344/39,664
  6. Step 6: Final answer
    x = 82,812.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.