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Finding the Third Proportional to 16,708 and 35,582

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Solution

The third proportional to 16,708 and 35,582 is: 75,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,708 : 35,582 = 35,582 : x
  2. Step 2: Convert to fraction form
    16,708/35,582 = 35,582/x
  3. Step 3: Cross multiply
    16,708x = 35,582 × 35,582
  4. Step 4: Simplify right side
    16,708x = 1,266,078,724
  5. Step 5: Solve for x
    x = 1,266,078,724/16,708
  6. Step 6: Final answer
    x = 75,776.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.