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Finding the Third Proportional to 6,370.52 and 13,563.07

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Solution

The third proportional to 6,370.52 and 13,563.07 is: 28,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.52 : 13,563.07 = 13,563.07 : x
  2. Step 2: Convert to fraction form
    6,370.52/13,563.07 = 13,563.07/x
  3. Step 3: Cross multiply
    6,370.52x = 13,563.07 × 13,563.07
  4. Step 4: Simplify right side
    6,370.52x = 183,956,876.30
  5. Step 5: Solve for x
    x = 183,956,876.30/6,370.52
  6. Step 6: Final answer
    x = 28,876.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.