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Finding the Third Proportional to 10,706 and 15,057

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Solution

The third proportional to 10,706 and 15,057 is: 21,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706 : 15,057 = 15,057 : x
  2. Step 2: Convert to fraction form
    10,706/15,057 = 15,057/x
  3. Step 3: Cross multiply
    10,706x = 15,057 × 15,057
  4. Step 4: Simplify right side
    10,706x = 226,713,249
  5. Step 5: Solve for x
    x = 226,713,249/10,706
  6. Step 6: Final answer
    x = 21,176.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.