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Finding the Third Proportional to 11,782.13 and 25,507.13

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Solution

The third proportional to 11,782.13 and 25,507.13 is: 55,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.13 : 25,507.13 = 25,507.13 : x
  2. Step 2: Convert to fraction form
    11,782.13/25,507.13 = 25,507.13/x
  3. Step 3: Cross multiply
    11,782.13x = 25,507.13 × 25,507.13
  4. Step 4: Simplify right side
    11,782.13x = 650,613,425.77
  5. Step 5: Solve for x
    x = 650,613,425.77/11,782.13
  6. Step 6: Final answer
    x = 55,220.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.