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Finding the Third Proportional to 49,004 and 73,574

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Solution

The third proportional to 49,004 and 73,574 is: 110,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,004 : 73,574 = 73,574 : x
  2. Step 2: Convert to fraction form
    49,004/73,574 = 73,574/x
  3. Step 3: Cross multiply
    49,004x = 73,574 × 73,574
  4. Step 4: Simplify right side
    49,004x = 5,413,133,476
  5. Step 5: Solve for x
    x = 5,413,133,476/49,004
  6. Step 6: Final answer
    x = 110,463.09

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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.