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Finding the Third Proportional to 7,114.42 and 10,412.14

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Solution

The third proportional to 7,114.42 and 10,412.14 is: 15,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.42 : 10,412.14 = 10,412.14 : x
  2. Step 2: Convert to fraction form
    7,114.42/10,412.14 = 10,412.14/x
  3. Step 3: Cross multiply
    7,114.42x = 10,412.14 × 10,412.14
  4. Step 4: Simplify right side
    7,114.42x = 108,412,734.67
  5. Step 5: Solve for x
    x = 108,412,734.67/7,114.42
  6. Step 6: Final answer
    x = 15,238.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.