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Finding the Third Proportional to 11,457.07 and 24,759.42

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Solution

The third proportional to 11,457.07 and 24,759.42 is: 53,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.07 : 24,759.42 = 24,759.42 : x
  2. Step 2: Convert to fraction form
    11,457.07/24,759.42 = 24,759.42/x
  3. Step 3: Cross multiply
    11,457.07x = 24,759.42 × 24,759.42
  4. Step 4: Simplify right side
    11,457.07x = 613,028,971.58
  5. Step 5: Solve for x
    x = 613,028,971.58/11,457.07
  6. Step 6: Final answer
    x = 53,506.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.