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Finding the Third Proportional to 7,343.16 and 11,820.94

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Solution

The third proportional to 7,343.16 and 11,820.94 is: 19,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.16 : 11,820.94 = 11,820.94 : x
  2. Step 2: Convert to fraction form
    7,343.16/11,820.94 = 11,820.94/x
  3. Step 3: Cross multiply
    7,343.16x = 11,820.94 × 11,820.94
  4. Step 4: Simplify right side
    7,343.16x = 139,734,563.38
  5. Step 5: Solve for x
    x = 139,734,563.38/7,343.16
  6. Step 6: Final answer
    x = 19,029.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.