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Finding the Third Proportional to 4,306.50 and 9,042.75

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Solution

The third proportional to 4,306.50 and 9,042.75 is: 18,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.50 : 9,042.75 = 9,042.75 : x
  2. Step 2: Convert to fraction form
    4,306.50/9,042.75 = 9,042.75/x
  3. Step 3: Cross multiply
    4,306.50x = 9,042.75 × 9,042.75
  4. Step 4: Simplify right side
    4,306.50x = 81,771,327.56
  5. Step 5: Solve for x
    x = 81,771,327.56/4,306.50
  6. Step 6: Final answer
    x = 18,987.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.