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Finding the Third Proportional to 38,308 and 81,032

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Solution

The third proportional to 38,308 and 81,032 is: 171,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308 : 81,032 = 81,032 : x
  2. Step 2: Convert to fraction form
    38,308/81,032 = 81,032/x
  3. Step 3: Cross multiply
    38,308x = 81,032 × 81,032
  4. Step 4: Simplify right side
    38,308x = 6,566,185,024
  5. Step 5: Solve for x
    x = 6,566,185,024/38,308
  6. Step 6: Final answer
    x = 171,405.06

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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.