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Finding the Third Proportional to 4,969.13 and 11,463.75

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Solution

The third proportional to 4,969.13 and 11,463.75 is: 26,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.13 : 11,463.75 = 11,463.75 : x
  2. Step 2: Convert to fraction form
    4,969.13/11,463.75 = 11,463.75/x
  3. Step 3: Cross multiply
    4,969.13x = 11,463.75 × 11,463.75
  4. Step 4: Simplify right side
    4,969.13x = 131,417,564.06
  5. Step 5: Solve for x
    x = 131,417,564.06/4,969.13
  6. Step 6: Final answer
    x = 26,446.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.