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Finding the Third Proportional to 40,426 and 62,051

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Solution

The third proportional to 40,426 and 62,051 is: 95,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,426 : 62,051 = 62,051 : x
  2. Step 2: Convert to fraction form
    40,426/62,051 = 62,051/x
  3. Step 3: Cross multiply
    40,426x = 62,051 × 62,051
  4. Step 4: Simplify right side
    40,426x = 3,850,326,601
  5. Step 5: Solve for x
    x = 3,850,326,601/40,426
  6. Step 6: Final answer
    x = 95,243.82

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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.