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Finding the Third Proportional to 13,063 and 28,405

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Solution

The third proportional to 13,063 and 28,405 is: 61,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,063 : 28,405 = 28,405 : x
  2. Step 2: Convert to fraction form
    13,063/28,405 = 28,405/x
  3. Step 3: Cross multiply
    13,063x = 28,405 × 28,405
  4. Step 4: Simplify right side
    13,063x = 806,844,025
  5. Step 5: Solve for x
    x = 806,844,025/13,063
  6. Step 6: Final answer
    x = 61,765.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.