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Finding the Third Proportional to 24,186.09 and 51,309.28

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Solution

The third proportional to 24,186.09 and 51,309.28 is: 108,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.09 : 51,309.28 = 51,309.28 : x
  2. Step 2: Convert to fraction form
    24,186.09/51,309.28 = 51,309.28/x
  3. Step 3: Cross multiply
    24,186.09x = 51,309.28 × 51,309.28
  4. Step 4: Simplify right side
    24,186.09x = 2,632,642,342.39
  5. Step 5: Solve for x
    x = 2,632,642,342.39/24,186.09
  6. Step 6: Final answer
    x = 108,849.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.