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Finding the Third Proportional to 39,690 and 56,416.50

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Solution

The third proportional to 39,690 and 56,416.50 is: 80,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,690 : 56,416.50 = 56,416.50 : x
  2. Step 2: Convert to fraction form
    39,690/56,416.50 = 56,416.50/x
  3. Step 3: Cross multiply
    39,690x = 56,416.50 × 56,416.50
  4. Step 4: Simplify right side
    39,690x = 3,182,821,472.25
  5. Step 5: Solve for x
    x = 3,182,821,472.25/39,690
  6. Step 6: Final answer
    x = 80,192.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.