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Finding the Third Proportional to 37,017 and 48,601

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Solution

The third proportional to 37,017 and 48,601 is: 63,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,017 : 48,601 = 48,601 : x
  2. Step 2: Convert to fraction form
    37,017/48,601 = 48,601/x
  3. Step 3: Cross multiply
    37,017x = 48,601 × 48,601
  4. Step 4: Simplify right side
    37,017x = 2,362,057,201
  5. Step 5: Solve for x
    x = 2,362,057,201/37,017
  6. Step 6: Final answer
    x = 63,810.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.