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Finding the Third Proportional to 47,880 and 71,526

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Solution

The third proportional to 47,880 and 71,526 is: 106,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,880 : 71,526 = 71,526 : x
  2. Step 2: Convert to fraction form
    47,880/71,526 = 71,526/x
  3. Step 3: Cross multiply
    47,880x = 71,526 × 71,526
  4. Step 4: Simplify right side
    47,880x = 5,115,968,676
  5. Step 5: Solve for x
    x = 5,115,968,676/47,880
  6. Step 6: Final answer
    x = 106,849.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.