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Finding the Third Proportional to 7,311 and 10,419.38

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Solution

The third proportional to 7,311 and 10,419.38 is: 14,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311 : 10,419.38 = 10,419.38 : x
  2. Step 2: Convert to fraction form
    7,311/10,419.38 = 10,419.38/x
  3. Step 3: Cross multiply
    7,311x = 10,419.38 × 10,419.38
  4. Step 4: Simplify right side
    7,311x = 108,563,375.39
  5. Step 5: Solve for x
    x = 108,563,375.39/7,311
  6. Step 6: Final answer
    x = 14,849.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.