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Finding the Third Proportional to 25,741.13 and 37,189.13

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Solution

The third proportional to 25,741.13 and 37,189.13 is: 53,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.13 : 37,189.13 = 37,189.13 : x
  2. Step 2: Convert to fraction form
    25,741.13/37,189.13 = 37,189.13/x
  3. Step 3: Cross multiply
    25,741.13x = 37,189.13 × 37,189.13
  4. Step 4: Simplify right side
    25,741.13x = 1,383,031,018.27
  5. Step 5: Solve for x
    x = 1,383,031,018.27/25,741.13
  6. Step 6: Final answer
    x = 53,728.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.