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Finding the Third Proportional to 12,017.50 and 16,487

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Solution

The third proportional to 12,017.50 and 16,487 is: 22,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.50 : 16,487 = 16,487 : x
  2. Step 2: Convert to fraction form
    12,017.50/16,487 = 16,487/x
  3. Step 3: Cross multiply
    12,017.50x = 16,487 × 16,487
  4. Step 4: Simplify right side
    12,017.50x = 271,821,169
  5. Step 5: Solve for x
    x = 271,821,169/12,017.50
  6. Step 6: Final answer
    x = 22,618.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.