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Finding the Third Proportional to 18,767 and 38,506

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Solution

The third proportional to 18,767 and 38,506 is: 79,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,767 : 38,506 = 38,506 : x
  2. Step 2: Convert to fraction form
    18,767/38,506 = 38,506/x
  3. Step 3: Cross multiply
    18,767x = 38,506 × 38,506
  4. Step 4: Simplify right side
    18,767x = 1,482,712,036
  5. Step 5: Solve for x
    x = 1,482,712,036/18,767
  6. Step 6: Final answer
    x = 79,006.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.