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Finding the Third Proportional to 13,711.50 and 28,395

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Solution

The third proportional to 13,711.50 and 28,395 is: 58,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.50 : 28,395 = 28,395 : x
  2. Step 2: Convert to fraction form
    13,711.50/28,395 = 28,395/x
  3. Step 3: Cross multiply
    13,711.50x = 28,395 × 28,395
  4. Step 4: Simplify right side
    13,711.50x = 806,276,025
  5. Step 5: Solve for x
    x = 806,276,025/13,711.50
  6. Step 6: Final answer
    x = 58,802.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.