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Finding the Third Proportional to 5,281.45 and 7,071.68

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Solution

The third proportional to 5,281.45 and 7,071.68 is: 9,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.45 : 7,071.68 = 7,071.68 : x
  2. Step 2: Convert to fraction form
    5,281.45/7,071.68 = 7,071.68/x
  3. Step 3: Cross multiply
    5,281.45x = 7,071.68 × 7,071.68
  4. Step 4: Simplify right side
    5,281.45x = 50,008,653.60
  5. Step 5: Solve for x
    x = 50,008,653.60/5,281.45
  6. Step 6: Final answer
    x = 9,468.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.