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Finding the Third Proportional to 13,470.75 and 18,121.50

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Solution

The third proportional to 13,470.75 and 18,121.50 is: 24,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.75 : 18,121.50 = 18,121.50 : x
  2. Step 2: Convert to fraction form
    13,470.75/18,121.50 = 18,121.50/x
  3. Step 3: Cross multiply
    13,470.75x = 18,121.50 × 18,121.50
  4. Step 4: Simplify right side
    13,470.75x = 328,388,762.25
  5. Step 5: Solve for x
    x = 328,388,762.25/13,470.75
  6. Step 6: Final answer
    x = 24,377.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.