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Finding the Third Proportional to 4,695 and 10,116.75

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Solution

The third proportional to 4,695 and 10,116.75 is: 21,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695 : 10,116.75 = 10,116.75 : x
  2. Step 2: Convert to fraction form
    4,695/10,116.75 = 10,116.75/x
  3. Step 3: Cross multiply
    4,695x = 10,116.75 × 10,116.75
  4. Step 4: Simplify right side
    4,695x = 102,348,630.56
  5. Step 5: Solve for x
    x = 102,348,630.56/4,695
  6. Step 6: Final answer
    x = 21,799.50

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Why These Related Problems?

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