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Finding the Third Proportional to 16,768 and 26,634

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Solution

The third proportional to 16,768 and 26,634 is: 42,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768 : 26,634 = 26,634 : x
  2. Step 2: Convert to fraction form
    16,768/26,634 = 26,634/x
  3. Step 3: Cross multiply
    16,768x = 26,634 × 26,634
  4. Step 4: Simplify right side
    16,768x = 709,369,956
  5. Step 5: Solve for x
    x = 709,369,956/16,768
  6. Step 6: Final answer
    x = 42,304.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.