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Finding the Third Proportional to 10,006 and 14,946

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Solution

The third proportional to 10,006 and 14,946 is: 22,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006 : 14,946 = 14,946 : x
  2. Step 2: Convert to fraction form
    10,006/14,946 = 14,946/x
  3. Step 3: Cross multiply
    10,006x = 14,946 × 14,946
  4. Step 4: Simplify right side
    10,006x = 223,382,916
  5. Step 5: Solve for x
    x = 223,382,916/10,006
  6. Step 6: Final answer
    x = 22,324.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.