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Finding the Third Proportional to 16,483.50 and 36,525

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Solution

The third proportional to 16,483.50 and 36,525 is: 80,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.50 : 36,525 = 36,525 : x
  2. Step 2: Convert to fraction form
    16,483.50/36,525 = 36,525/x
  3. Step 3: Cross multiply
    16,483.50x = 36,525 × 36,525
  4. Step 4: Simplify right side
    16,483.50x = 1,334,075,625
  5. Step 5: Solve for x
    x = 1,334,075,625/16,483.50
  6. Step 6: Final answer
    x = 80,934.00

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.