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Finding the Third Proportional to 7,412.31 and 11,464.81

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Solution

The third proportional to 7,412.31 and 11,464.81 is: 17,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.31 : 11,464.81 = 11,464.81 : x
  2. Step 2: Convert to fraction form
    7,412.31/11,464.81 = 11,464.81/x
  3. Step 3: Cross multiply
    7,412.31x = 11,464.81 × 11,464.81
  4. Step 4: Simplify right side
    7,412.31x = 131,441,925.66
  5. Step 5: Solve for x
    x = 131,441,925.66/7,412.31
  6. Step 6: Final answer
    x = 17,732.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.