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Finding the Third Proportional to 49,692 and 74,586

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Solution

The third proportional to 49,692 and 74,586 is: 111,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692 : 74,586 = 74,586 : x
  2. Step 2: Convert to fraction form
    49,692/74,586 = 74,586/x
  3. Step 3: Cross multiply
    49,692x = 74,586 × 74,586
  4. Step 4: Simplify right side
    49,692x = 5,563,071,396
  5. Step 5: Solve for x
    x = 5,563,071,396/49,692
  6. Step 6: Final answer
    x = 111,951.05

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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.