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Finding the Third Proportional to 4,915.69 and 5,401.69

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Solution

The third proportional to 4,915.69 and 5,401.69 is: 5,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.69 : 5,401.69 = 5,401.69 : x
  2. Step 2: Convert to fraction form
    4,915.69/5,401.69 = 5,401.69/x
  3. Step 3: Cross multiply
    4,915.69x = 5,401.69 × 5,401.69
  4. Step 4: Simplify right side
    4,915.69x = 29,178,227.85
  5. Step 5: Solve for x
    x = 29,178,227.85/4,915.69
  6. Step 6: Final answer
    x = 5,935.74

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.