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Finding the Third Proportional to 16,214.63 and 34,930.69

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Solution

The third proportional to 16,214.63 and 34,930.69 is: 75,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.63 : 34,930.69 = 34,930.69 : x
  2. Step 2: Convert to fraction form
    16,214.63/34,930.69 = 34,930.69/x
  3. Step 3: Cross multiply
    16,214.63x = 34,930.69 × 34,930.69
  4. Step 4: Simplify right side
    16,214.63x = 1,220,152,929.22
  5. Step 5: Solve for x
    x = 1,220,152,929.22/16,214.63
  6. Step 6: Final answer
    x = 75,250.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.