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Finding the Third Proportional to 15,536.81 and 20,563.88

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Solution

The third proportional to 15,536.81 and 20,563.88 is: 27,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.81 : 20,563.88 = 20,563.88 : x
  2. Step 2: Convert to fraction form
    15,536.81/20,563.88 = 20,563.88/x
  3. Step 3: Cross multiply
    15,536.81x = 20,563.88 × 20,563.88
  4. Step 4: Simplify right side
    15,536.81x = 422,872,955.02
  5. Step 5: Solve for x
    x = 422,872,955.02/15,536.81
  6. Step 6: Final answer
    x = 27,217.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.