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Finding the Third Proportional to 7,567.75 and 18,180.75

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Solution

The third proportional to 7,567.75 and 18,180.75 is: 43,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.75 : 18,180.75 = 18,180.75 : x
  2. Step 2: Convert to fraction form
    7,567.75/18,180.75 = 18,180.75/x
  3. Step 3: Cross multiply
    7,567.75x = 18,180.75 × 18,180.75
  4. Step 4: Simplify right side
    7,567.75x = 330,539,670.56
  5. Step 5: Solve for x
    x = 330,539,670.56/7,567.75
  6. Step 6: Final answer
    x = 43,677.40

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.