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Finding the Third Proportional to 51,692 and 74,526

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Solution

The third proportional to 51,692 and 74,526 is: 107,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,692 : 74,526 = 74,526 : x
  2. Step 2: Convert to fraction form
    51,692/74,526 = 74,526/x
  3. Step 3: Cross multiply
    51,692x = 74,526 × 74,526
  4. Step 4: Simplify right side
    51,692x = 5,554,124,676
  5. Step 5: Solve for x
    x = 5,554,124,676/51,692
  6. Step 6: Final answer
    x = 107,446.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.