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Finding the Third Proportional to 5,281.69 and 11,475.56

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Solution

The third proportional to 5,281.69 and 11,475.56 is: 24,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.69 : 11,475.56 = 11,475.56 : x
  2. Step 2: Convert to fraction form
    5,281.69/11,475.56 = 11,475.56/x
  3. Step 3: Cross multiply
    5,281.69x = 11,475.56 × 11,475.56
  4. Step 4: Simplify right side
    5,281.69x = 131,688,534.69
  5. Step 5: Solve for x
    x = 131,688,534.69/5,281.69
  6. Step 6: Final answer
    x = 24,933.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.