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Finding the Third Proportional to 16,076 and 34,609

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Solution

The third proportional to 16,076 and 34,609 is: 74,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076 : 34,609 = 34,609 : x
  2. Step 2: Convert to fraction form
    16,076/34,609 = 34,609/x
  3. Step 3: Cross multiply
    16,076x = 34,609 × 34,609
  4. Step 4: Simplify right side
    16,076x = 1,197,782,881
  5. Step 5: Solve for x
    x = 1,197,782,881/16,076
  6. Step 6: Final answer
    x = 74,507.52

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