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Finding the Third Proportional to 38,738 and 84,854

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Solution

The third proportional to 38,738 and 84,854 is: 185,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738 : 84,854 = 84,854 : x
  2. Step 2: Convert to fraction form
    38,738/84,854 = 84,854/x
  3. Step 3: Cross multiply
    38,738x = 84,854 × 84,854
  4. Step 4: Simplify right side
    38,738x = 7,200,201,316
  5. Step 5: Solve for x
    x = 7,200,201,316/38,738
  6. Step 6: Final answer
    x = 185,869.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.