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Finding the Third Proportional to 4,915.69 and 12,228.47

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Solution

The third proportional to 4,915.69 and 12,228.47 is: 30,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.69 : 12,228.47 = 12,228.47 : x
  2. Step 2: Convert to fraction form
    4,915.69/12,228.47 = 12,228.47/x
  3. Step 3: Cross multiply
    4,915.69x = 12,228.47 × 12,228.47
  4. Step 4: Simplify right side
    4,915.69x = 149,535,447.97
  5. Step 5: Solve for x
    x = 149,535,447.97/4,915.69
  6. Step 6: Final answer
    x = 30,420.05

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.