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Finding the Third Proportional to 16,767.50 and 25,153

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Solution

The third proportional to 16,767.50 and 25,153 is: 37,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.50 : 25,153 = 25,153 : x
  2. Step 2: Convert to fraction form
    16,767.50/25,153 = 25,153/x
  3. Step 3: Cross multiply
    16,767.50x = 25,153 × 25,153
  4. Step 4: Simplify right side
    16,767.50x = 632,673,409
  5. Step 5: Solve for x
    x = 632,673,409/16,767.50
  6. Step 6: Final answer
    x = 37,732.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.