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Finding the Third Proportional to 6,273.28 and 13,526.16

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Solution

The third proportional to 6,273.28 and 13,526.16 is: 29,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.28 : 13,526.16 = 13,526.16 : x
  2. Step 2: Convert to fraction form
    6,273.28/13,526.16 = 13,526.16/x
  3. Step 3: Cross multiply
    6,273.28x = 13,526.16 × 13,526.16
  4. Step 4: Simplify right side
    6,273.28x = 182,956,902.90
  5. Step 5: Solve for x
    x = 182,956,902.90/6,273.28
  6. Step 6: Final answer
    x = 29,164.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.