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Finding the Third Proportional to 28,574 and 41,744

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Solution

The third proportional to 28,574 and 41,744 is: 60,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,574 : 41,744 = 41,744 : x
  2. Step 2: Convert to fraction form
    28,574/41,744 = 41,744/x
  3. Step 3: Cross multiply
    28,574x = 41,744 × 41,744
  4. Step 4: Simplify right side
    28,574x = 1,742,561,536
  5. Step 5: Solve for x
    x = 1,742,561,536/28,574
  6. Step 6: Final answer
    x = 60,984.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.