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Finding the Third Proportional to 18,047 and 38,650

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Solution

The third proportional to 18,047 and 38,650 is: 82,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,047 : 38,650 = 38,650 : x
  2. Step 2: Convert to fraction form
    18,047/38,650 = 38,650/x
  3. Step 3: Cross multiply
    18,047x = 38,650 × 38,650
  4. Step 4: Simplify right side
    18,047x = 1,493,822,500
  5. Step 5: Solve for x
    x = 1,493,822,500/18,047
  6. Step 6: Final answer
    x = 82,774.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.