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Finding the Third Proportional to 16,536.75 and 39,030

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Solution

The third proportional to 16,536.75 and 39,030 is: 92,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.75 : 39,030 = 39,030 : x
  2. Step 2: Convert to fraction form
    16,536.75/39,030 = 39,030/x
  3. Step 3: Cross multiply
    16,536.75x = 39,030 × 39,030
  4. Step 4: Simplify right side
    16,536.75x = 1,523,340,900
  5. Step 5: Solve for x
    x = 1,523,340,900/16,536.75
  6. Step 6: Final answer
    x = 92,118.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.