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Finding the Third Proportional to 14,708 and 34,693

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Solution

The third proportional to 14,708 and 34,693 is: 81,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708 : 34,693 = 34,693 : x
  2. Step 2: Convert to fraction form
    14,708/34,693 = 34,693/x
  3. Step 3: Cross multiply
    14,708x = 34,693 × 34,693
  4. Step 4: Simplify right side
    14,708x = 1,203,604,249
  5. Step 5: Solve for x
    x = 1,203,604,249/14,708
  6. Step 6: Final answer
    x = 81,833.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.