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Finding the Third Proportional to 41,503 and 62,297

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Solution

The third proportional to 41,503 and 62,297 is: 93,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,503 : 62,297 = 62,297 : x
  2. Step 2: Convert to fraction form
    41,503/62,297 = 62,297/x
  3. Step 3: Cross multiply
    41,503x = 62,297 × 62,297
  4. Step 4: Simplify right side
    41,503x = 3,880,916,209
  5. Step 5: Solve for x
    x = 3,880,916,209/41,503
  6. Step 6: Final answer
    x = 93,509.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.