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Finding the Third Proportional to 10,411 and 14,896

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Solution

The third proportional to 10,411 and 14,896 is: 21,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411 : 14,896 = 14,896 : x
  2. Step 2: Convert to fraction form
    10,411/14,896 = 14,896/x
  3. Step 3: Cross multiply
    10,411x = 14,896 × 14,896
  4. Step 4: Simplify right side
    10,411x = 221,890,816
  5. Step 5: Solve for x
    x = 221,890,816/10,411
  6. Step 6: Final answer
    x = 21,313.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.