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Finding the Third Proportional to 11,913.75 and 25,465.50

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Solution

The third proportional to 11,913.75 and 25,465.50 is: 54,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.75 : 25,465.50 = 25,465.50 : x
  2. Step 2: Convert to fraction form
    11,913.75/25,465.50 = 25,465.50/x
  3. Step 3: Cross multiply
    11,913.75x = 25,465.50 × 25,465.50
  4. Step 4: Simplify right side
    11,913.75x = 648,491,690.25
  5. Step 5: Solve for x
    x = 648,491,690.25/11,913.75
  6. Step 6: Final answer
    x = 54,432.21

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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.