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Finding the Third Proportional to 28,768 and 44,158

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Solution

The third proportional to 28,768 and 44,158 is: 67,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,768 : 44,158 = 44,158 : x
  2. Step 2: Convert to fraction form
    28,768/44,158 = 44,158/x
  3. Step 3: Cross multiply
    28,768x = 44,158 × 44,158
  4. Step 4: Simplify right side
    28,768x = 1,949,928,964
  5. Step 5: Solve for x
    x = 1,949,928,964/28,768
  6. Step 6: Final answer
    x = 67,781.18

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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.