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Finding the Third Proportional to 16,976 and 40,136.50

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Solution

The third proportional to 16,976 and 40,136.50 is: 94,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976 : 40,136.50 = 40,136.50 : x
  2. Step 2: Convert to fraction form
    16,976/40,136.50 = 40,136.50/x
  3. Step 3: Cross multiply
    16,976x = 40,136.50 × 40,136.50
  4. Step 4: Simplify right side
    16,976x = 1,610,938,632.25
  5. Step 5: Solve for x
    x = 1,610,938,632.25/16,976
  6. Step 6: Final answer
    x = 94,895.07

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.