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Finding the Third Proportional to 16,986.50 and 37,429

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Solution

The third proportional to 16,986.50 and 37,429 is: 82,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986.50 : 37,429 = 37,429 : x
  2. Step 2: Convert to fraction form
    16,986.50/37,429 = 37,429/x
  3. Step 3: Cross multiply
    16,986.50x = 37,429 × 37,429
  4. Step 4: Simplify right side
    16,986.50x = 1,400,930,041
  5. Step 5: Solve for x
    x = 1,400,930,041/16,986.50
  6. Step 6: Final answer
    x = 82,473.14

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Why These Related Problems?

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