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Finding the Third Proportional to 28,564 and 43,932

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Solution

The third proportional to 28,564 and 43,932 is: 67,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564 : 43,932 = 43,932 : x
  2. Step 2: Convert to fraction form
    28,564/43,932 = 43,932/x
  3. Step 3: Cross multiply
    28,564x = 43,932 × 43,932
  4. Step 4: Simplify right side
    28,564x = 1,930,020,624
  5. Step 5: Solve for x
    x = 1,930,020,624/28,564
  6. Step 6: Final answer
    x = 67,568.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.