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Finding the Third Proportional to 38,799 and 84,705.75

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Solution

The third proportional to 38,799 and 84,705.75 is: 184,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,799 : 84,705.75 = 84,705.75 : x
  2. Step 2: Convert to fraction form
    38,799/84,705.75 = 84,705.75/x
  3. Step 3: Cross multiply
    38,799x = 84,705.75 × 84,705.75
  4. Step 4: Simplify right side
    38,799x = 7,175,064,083.06
  5. Step 5: Solve for x
    x = 7,175,064,083.06/38,799
  6. Step 6: Final answer
    x = 184,929.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.