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Finding the Third Proportional to 10,411 and 14,128

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Solution

The third proportional to 10,411 and 14,128 is: 19,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411 : 14,128 = 14,128 : x
  2. Step 2: Convert to fraction form
    10,411/14,128 = 14,128/x
  3. Step 3: Cross multiply
    10,411x = 14,128 × 14,128
  4. Step 4: Simplify right side
    10,411x = 199,600,384
  5. Step 5: Solve for x
    x = 199,600,384/10,411
  6. Step 6: Final answer
    x = 19,172.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.