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Finding the Third Proportional to 28,384 and 42,969

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Solution

The third proportional to 28,384 and 42,969 is: 65,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,384 : 42,969 = 42,969 : x
  2. Step 2: Convert to fraction form
    28,384/42,969 = 42,969/x
  3. Step 3: Cross multiply
    28,384x = 42,969 × 42,969
  4. Step 4: Simplify right side
    28,384x = 1,846,334,961
  5. Step 5: Solve for x
    x = 1,846,334,961/28,384
  6. Step 6: Final answer
    x = 65,048.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.