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Finding the Third Proportional to 34,996 and 55,654

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Solution

The third proportional to 34,996 and 55,654 is: 88,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,996 : 55,654 = 55,654 : x
  2. Step 2: Convert to fraction form
    34,996/55,654 = 55,654/x
  3. Step 3: Cross multiply
    34,996x = 55,654 × 55,654
  4. Step 4: Simplify right side
    34,996x = 3,097,367,716
  5. Step 5: Solve for x
    x = 3,097,367,716/34,996
  6. Step 6: Final answer
    x = 88,506.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.