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Finding the Third Proportional to 13,985.50 and 27,261

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Solution

The third proportional to 13,985.50 and 27,261 is: 53,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.50 : 27,261 = 27,261 : x
  2. Step 2: Convert to fraction form
    13,985.50/27,261 = 27,261/x
  3. Step 3: Cross multiply
    13,985.50x = 27,261 × 27,261
  4. Step 4: Simplify right side
    13,985.50x = 743,162,121
  5. Step 5: Solve for x
    x = 743,162,121/13,985.50
  6. Step 6: Final answer
    x = 53,138.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.