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Finding the Third Proportional to 9,180 and 13,441.50

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Solution

The third proportional to 9,180 and 13,441.50 is: 19,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 13,441.50 = 13,441.50 : x
  2. Step 2: Convert to fraction form
    9,180/13,441.50 = 13,441.50/x
  3. Step 3: Cross multiply
    9,180x = 13,441.50 × 13,441.50
  4. Step 4: Simplify right side
    9,180x = 180,673,922.25
  5. Step 5: Solve for x
    x = 180,673,922.25/9,180
  6. Step 6: Final answer
    x = 19,681.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.