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Finding the Third Proportional to 2,012.34 and 2,350.27

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Solution

The third proportional to 2,012.34 and 2,350.27 is: 2,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.34 : 2,350.27 = 2,350.27 : x
  2. Step 2: Convert to fraction form
    2,012.34/2,350.27 = 2,350.27/x
  3. Step 3: Cross multiply
    2,012.34x = 2,350.27 × 2,350.27
  4. Step 4: Simplify right side
    2,012.34x = 5,523,748.51
  5. Step 5: Solve for x
    x = 5,523,748.51/2,012.34
  6. Step 6: Final answer
    x = 2,744.93

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.