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Finding the Third Proportional to 6,563.53 and 9,563.91

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Solution

The third proportional to 6,563.53 and 9,563.91 is: 13,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.53 : 9,563.91 = 9,563.91 : x
  2. Step 2: Convert to fraction form
    6,563.53/9,563.91 = 9,563.91/x
  3. Step 3: Cross multiply
    6,563.53x = 9,563.91 × 9,563.91
  4. Step 4: Simplify right side
    6,563.53x = 91,468,302.76
  5. Step 5: Solve for x
    x = 91,468,302.76/6,563.53
  6. Step 6: Final answer
    x = 13,935.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.