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Finding the Third Proportional to 38,268 and 81,088.88

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Solution

The third proportional to 38,268 and 81,088.88 is: 171,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,268 : 81,088.88 = 81,088.88 : x
  2. Step 2: Convert to fraction form
    38,268/81,088.88 = 81,088.88/x
  3. Step 3: Cross multiply
    38,268x = 81,088.88 × 81,088.88
  4. Step 4: Simplify right side
    38,268x = 6,575,405,648.77
  5. Step 5: Solve for x
    x = 6,575,405,648.77/38,268
  6. Step 6: Final answer
    x = 171,825.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.