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Finding the Third Proportional to 38,496 and 84,348

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Solution

The third proportional to 38,496 and 84,348 is: 184,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496 : 84,348 = 84,348 : x
  2. Step 2: Convert to fraction form
    38,496/84,348 = 84,348/x
  3. Step 3: Cross multiply
    38,496x = 84,348 × 84,348
  4. Step 4: Simplify right side
    38,496x = 7,114,585,104
  5. Step 5: Solve for x
    x = 7,114,585,104/38,496
  6. Step 6: Final answer
    x = 184,813.62

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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.