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Finding the Third Proportional to 3,838.50 and 4,916.25

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Solution

The third proportional to 3,838.50 and 4,916.25 is: 6,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.50 : 4,916.25 = 4,916.25 : x
  2. Step 2: Convert to fraction form
    3,838.50/4,916.25 = 4,916.25/x
  3. Step 3: Cross multiply
    3,838.50x = 4,916.25 × 4,916.25
  4. Step 4: Simplify right side
    3,838.50x = 24,169,514.06
  5. Step 5: Solve for x
    x = 24,169,514.06/3,838.50
  6. Step 6: Final answer
    x = 6,296.60

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.