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Finding the Third Proportional to 4,156 and 9,754

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Solution

The third proportional to 4,156 and 9,754 is: 22,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156 : 9,754 = 9,754 : x
  2. Step 2: Convert to fraction form
    4,156/9,754 = 9,754/x
  3. Step 3: Cross multiply
    4,156x = 9,754 × 9,754
  4. Step 4: Simplify right side
    4,156x = 95,140,516
  5. Step 5: Solve for x
    x = 95,140,516/4,156
  6. Step 6: Final answer
    x = 22,892.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.