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Finding the Third Proportional to 9,079.50 and 19,654.50

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Solution

The third proportional to 9,079.50 and 19,654.50 is: 42,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.50 : 19,654.50 = 19,654.50 : x
  2. Step 2: Convert to fraction form
    9,079.50/19,654.50 = 19,654.50/x
  3. Step 3: Cross multiply
    9,079.50x = 19,654.50 × 19,654.50
  4. Step 4: Simplify right side
    9,079.50x = 386,299,370.25
  5. Step 5: Solve for x
    x = 386,299,370.25/9,079.50
  6. Step 6: Final answer
    x = 42,546.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.