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Finding the Third Proportional to 6,342.19 and 13,563.56

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Solution

The third proportional to 6,342.19 and 13,563.56 is: 29,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.19 : 13,563.56 = 13,563.56 : x
  2. Step 2: Convert to fraction form
    6,342.19/13,563.56 = 13,563.56/x
  3. Step 3: Cross multiply
    6,342.19x = 13,563.56 × 13,563.56
  4. Step 4: Simplify right side
    6,342.19x = 183,970,227.69
  5. Step 5: Solve for x
    x = 183,970,227.69/6,342.19
  6. Step 6: Final answer
    x = 29,007.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.