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Finding the Third Proportional to 38,442 and 88,956

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Solution

The third proportional to 38,442 and 88,956 is: 205,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442 : 88,956 = 88,956 : x
  2. Step 2: Convert to fraction form
    38,442/88,956 = 88,956/x
  3. Step 3: Cross multiply
    38,442x = 88,956 × 88,956
  4. Step 4: Simplify right side
    38,442x = 7,913,169,936
  5. Step 5: Solve for x
    x = 7,913,169,936/38,442
  6. Step 6: Final answer
    x = 205,846.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.