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Finding the Third Proportional to 39,038 and 51,896

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Solution

The third proportional to 39,038 and 51,896 is: 68,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,038 : 51,896 = 51,896 : x
  2. Step 2: Convert to fraction form
    39,038/51,896 = 51,896/x
  3. Step 3: Cross multiply
    39,038x = 51,896 × 51,896
  4. Step 4: Simplify right side
    39,038x = 2,693,194,816
  5. Step 5: Solve for x
    x = 2,693,194,816/39,038
  6. Step 6: Final answer
    x = 68,989.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.