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Finding the Third Proportional to 28,566 and 42,679

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Solution

The third proportional to 28,566 and 42,679 is: 63,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,566 : 42,679 = 42,679 : x
  2. Step 2: Convert to fraction form
    28,566/42,679 = 42,679/x
  3. Step 3: Cross multiply
    28,566x = 42,679 × 42,679
  4. Step 4: Simplify right side
    28,566x = 1,821,497,041
  5. Step 5: Solve for x
    x = 1,821,497,041/28,566
  6. Step 6: Final answer
    x = 63,764.51

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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.