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Finding the Third Proportional to 16,202 and 34,650

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Solution

The third proportional to 16,202 and 34,650 is: 74,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202 : 34,650 = 34,650 : x
  2. Step 2: Convert to fraction form
    16,202/34,650 = 34,650/x
  3. Step 3: Cross multiply
    16,202x = 34,650 × 34,650
  4. Step 4: Simplify right side
    16,202x = 1,200,622,500
  5. Step 5: Solve for x
    x = 1,200,622,500/16,202
  6. Step 6: Final answer
    x = 74,103.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.