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Finding the Third Proportional to 7,156 and 10,946

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Solution

The third proportional to 7,156 and 10,946 is: 16,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156 : 10,946 = 10,946 : x
  2. Step 2: Convert to fraction form
    7,156/10,946 = 10,946/x
  3. Step 3: Cross multiply
    7,156x = 10,946 × 10,946
  4. Step 4: Simplify right side
    7,156x = 119,814,916
  5. Step 5: Solve for x
    x = 119,814,916/7,156
  6. Step 6: Final answer
    x = 16,743.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.