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Finding the Third Proportional to 16,966.97 and 36,665.16

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Solution

The third proportional to 16,966.97 and 36,665.16 is: 79,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.97 : 36,665.16 = 36,665.16 : x
  2. Step 2: Convert to fraction form
    16,966.97/36,665.16 = 36,665.16/x
  3. Step 3: Cross multiply
    16,966.97x = 36,665.16 × 36,665.16
  4. Step 4: Simplify right side
    16,966.97x = 1,344,333,682.84
  5. Step 5: Solve for x
    x = 1,344,333,682.84/16,966.97
  6. Step 6: Final answer
    x = 79,232.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.