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Finding the Third Proportional to 5,265 and 12,190.50

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Solution

The third proportional to 5,265 and 12,190.50 is: 28,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265 : 12,190.50 = 12,190.50 : x
  2. Step 2: Convert to fraction form
    5,265/12,190.50 = 12,190.50/x
  3. Step 3: Cross multiply
    5,265x = 12,190.50 × 12,190.50
  4. Step 4: Simplify right side
    5,265x = 148,608,290.25
  5. Step 5: Solve for x
    x = 148,608,290.25/5,265
  6. Step 6: Final answer
    x = 28,225.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.