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Finding the Third Proportional to 11,913.28 and 25,462.59

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Solution

The third proportional to 11,913.28 and 25,462.59 is: 54,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.28 : 25,462.59 = 25,462.59 : x
  2. Step 2: Convert to fraction form
    11,913.28/25,462.59 = 25,462.59/x
  3. Step 3: Cross multiply
    11,913.28x = 25,462.59 × 25,462.59
  4. Step 4: Simplify right side
    11,913.28x = 648,343,680.48
  5. Step 5: Solve for x
    x = 648,343,680.48/11,913.28
  6. Step 6: Final answer
    x = 54,421.92

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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.