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Finding the Third Proportional to 7,281.56 and 17,774.44

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Solution

The third proportional to 7,281.56 and 17,774.44 is: 43,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.56 : 17,774.44 = 17,774.44 : x
  2. Step 2: Convert to fraction form
    7,281.56/17,774.44 = 17,774.44/x
  3. Step 3: Cross multiply
    7,281.56x = 17,774.44 × 17,774.44
  4. Step 4: Simplify right side
    7,281.56x = 315,930,628.44
  5. Step 5: Solve for x
    x = 315,930,628.44/7,281.56
  6. Step 6: Final answer
    x = 43,387.75

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.