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Finding the Third Proportional to 6,527.13 and 13,798.38

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Solution

The third proportional to 6,527.13 and 13,798.38 is: 29,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.13 : 13,798.38 = 13,798.38 : x
  2. Step 2: Convert to fraction form
    6,527.13/13,798.38 = 13,798.38/x
  3. Step 3: Cross multiply
    6,527.13x = 13,798.38 × 13,798.38
  4. Step 4: Simplify right side
    6,527.13x = 190,395,152.64
  5. Step 5: Solve for x
    x = 190,395,152.64/6,527.13
  6. Step 6: Final answer
    x = 29,169.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.