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Finding the Third Proportional to 11,365.13 and 24,309.75

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Solution

The third proportional to 11,365.13 and 24,309.75 is: 51,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.13 : 24,309.75 = 24,309.75 : x
  2. Step 2: Convert to fraction form
    11,365.13/24,309.75 = 24,309.75/x
  3. Step 3: Cross multiply
    11,365.13x = 24,309.75 × 24,309.75
  4. Step 4: Simplify right side
    11,365.13x = 590,963,945.06
  5. Step 5: Solve for x
    x = 590,963,945.06/11,365.13
  6. Step 6: Final answer
    x = 51,998.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.