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Finding the Third Proportional to 10,541 and 14,830

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Solution

The third proportional to 10,541 and 14,830 is: 20,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541 : 14,830 = 14,830 : x
  2. Step 2: Convert to fraction form
    10,541/14,830 = 14,830/x
  3. Step 3: Cross multiply
    10,541x = 14,830 × 14,830
  4. Step 4: Simplify right side
    10,541x = 219,928,900
  5. Step 5: Solve for x
    x = 219,928,900/10,541
  6. Step 6: Final answer
    x = 20,864.14

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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.