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Finding the Third Proportional to 11,215.13 and 23,592.09

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Solution

The third proportional to 11,215.13 and 23,592.09 is: 49,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.13 : 23,592.09 = 23,592.09 : x
  2. Step 2: Convert to fraction form
    11,215.13/23,592.09 = 23,592.09/x
  3. Step 3: Cross multiply
    11,215.13x = 23,592.09 × 23,592.09
  4. Step 4: Simplify right side
    11,215.13x = 556,586,887.51
  5. Step 5: Solve for x
    x = 556,586,887.51/11,215.13
  6. Step 6: Final answer
    x = 49,628.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.