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Finding the Third Proportional to 19,204.59 and 41,678.30

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Solution

The third proportional to 19,204.59 and 41,678.30 is: 90,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,204.59 : 41,678.30 = 41,678.30 : x
  2. Step 2: Convert to fraction form
    19,204.59/41,678.30 = 41,678.30/x
  3. Step 3: Cross multiply
    19,204.59x = 41,678.30 × 41,678.30
  4. Step 4: Simplify right side
    19,204.59x = 1,737,080,430.40
  5. Step 5: Solve for x
    x = 1,737,080,430.40/19,204.59
  6. Step 6: Final answer
    x = 90,451.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.