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Finding the Third Proportional to 2,330.81 and 5,412.68

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Solution

The third proportional to 2,330.81 and 5,412.68 is: 12,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.81 : 5,412.68 = 5,412.68 : x
  2. Step 2: Convert to fraction form
    2,330.81/5,412.68 = 5,412.68/x
  3. Step 3: Cross multiply
    2,330.81x = 5,412.68 × 5,412.68
  4. Step 4: Simplify right side
    2,330.81x = 29,297,133.11
  5. Step 5: Solve for x
    x = 29,297,133.11/2,330.81
  6. Step 6: Final answer
    x = 12,569.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.