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Finding the Third Proportional to 28,402 and 43,932

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Solution

The third proportional to 28,402 and 43,932 is: 67,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,402 : 43,932 = 43,932 : x
  2. Step 2: Convert to fraction form
    28,402/43,932 = 43,932/x
  3. Step 3: Cross multiply
    28,402x = 43,932 × 43,932
  4. Step 4: Simplify right side
    28,402x = 1,930,020,624
  5. Step 5: Solve for x
    x = 1,930,020,624/28,402
  6. Step 6: Final answer
    x = 67,953.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.