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Finding the Third Proportional to 6,153.50 and 13,537.50

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Solution

The third proportional to 6,153.50 and 13,537.50 is: 29,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.50 : 13,537.50 = 13,537.50 : x
  2. Step 2: Convert to fraction form
    6,153.50/13,537.50 = 13,537.50/x
  3. Step 3: Cross multiply
    6,153.50x = 13,537.50 × 13,537.50
  4. Step 4: Simplify right side
    6,153.50x = 183,263,906.25
  5. Step 5: Solve for x
    x = 183,263,906.25/6,153.50
  6. Step 6: Final answer
    x = 29,782.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.