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Finding the Third Proportional to 38,028 and 80,664

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Solution

The third proportional to 38,028 and 80,664 is: 171,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,028 : 80,664 = 80,664 : x
  2. Step 2: Convert to fraction form
    38,028/80,664 = 80,664/x
  3. Step 3: Cross multiply
    38,028x = 80,664 × 80,664
  4. Step 4: Simplify right side
    38,028x = 6,506,680,896
  5. Step 5: Solve for x
    x = 6,506,680,896/38,028
  6. Step 6: Final answer
    x = 171,102.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.