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Finding the Third Proportional to 16,136 and 35,454.50

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Solution

The third proportional to 16,136 and 35,454.50 is: 77,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136 : 35,454.50 = 35,454.50 : x
  2. Step 2: Convert to fraction form
    16,136/35,454.50 = 35,454.50/x
  3. Step 3: Cross multiply
    16,136x = 35,454.50 × 35,454.50
  4. Step 4: Simplify right side
    16,136x = 1,257,021,570.25
  5. Step 5: Solve for x
    x = 1,257,021,570.25/16,136
  6. Step 6: Final answer
    x = 77,901.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.