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Finding the Third Proportional to 28,016 and 42,756

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Solution

The third proportional to 28,016 and 42,756 is: 65,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,016 : 42,756 = 42,756 : x
  2. Step 2: Convert to fraction form
    28,016/42,756 = 42,756/x
  3. Step 3: Cross multiply
    28,016x = 42,756 × 42,756
  4. Step 4: Simplify right side
    28,016x = 1,828,075,536
  5. Step 5: Solve for x
    x = 1,828,075,536/28,016
  6. Step 6: Final answer
    x = 65,251.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.