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Finding the Third Proportional to 24,796.13 and 53,434.69

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Solution

The third proportional to 24,796.13 and 53,434.69 is: 115,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796.13 : 53,434.69 = 53,434.69 : x
  2. Step 2: Convert to fraction form
    24,796.13/53,434.69 = 53,434.69/x
  3. Step 3: Cross multiply
    24,796.13x = 53,434.69 × 53,434.69
  4. Step 4: Simplify right side
    24,796.13x = 2,855,265,828.22
  5. Step 5: Solve for x
    x = 2,855,265,828.22/24,796.13
  6. Step 6: Final answer
    x = 115,149.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.