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Finding the Third Proportional to 40,291 and 56,638.50

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Solution

The third proportional to 40,291 and 56,638.50 is: 79,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291 : 56,638.50 = 56,638.50 : x
  2. Step 2: Convert to fraction form
    40,291/56,638.50 = 56,638.50/x
  3. Step 3: Cross multiply
    40,291x = 56,638.50 × 56,638.50
  4. Step 4: Simplify right side
    40,291x = 3,207,919,682.25
  5. Step 5: Solve for x
    x = 3,207,919,682.25/40,291
  6. Step 6: Final answer
    x = 79,618.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.