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Finding the Third Proportional to 28,433 and 62,042

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Solution

The third proportional to 28,433 and 62,042 is: 135,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,433 : 62,042 = 62,042 : x
  2. Step 2: Convert to fraction form
    28,433/62,042 = 62,042/x
  3. Step 3: Cross multiply
    28,433x = 62,042 × 62,042
  4. Step 4: Simplify right side
    28,433x = 3,849,209,764
  5. Step 5: Solve for x
    x = 3,849,209,764/28,433
  6. Step 6: Final answer
    x = 135,378.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.