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Finding the Third Proportional to 5,701.50 and 12,255

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Solution

The third proportional to 5,701.50 and 12,255 is: 26,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.50 : 12,255 = 12,255 : x
  2. Step 2: Convert to fraction form
    5,701.50/12,255 = 12,255/x
  3. Step 3: Cross multiply
    5,701.50x = 12,255 × 12,255
  4. Step 4: Simplify right side
    5,701.50x = 150,185,025
  5. Step 5: Solve for x
    x = 150,185,025/5,701.50
  6. Step 6: Final answer
    x = 26,341.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.