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Finding the Third Proportional to 14,841 and 21,454

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Solution

The third proportional to 14,841 and 21,454 is: 31,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841 : 21,454 = 21,454 : x
  2. Step 2: Convert to fraction form
    14,841/21,454 = 21,454/x
  3. Step 3: Cross multiply
    14,841x = 21,454 × 21,454
  4. Step 4: Simplify right side
    14,841x = 460,274,116
  5. Step 5: Solve for x
    x = 460,274,116/14,841
  6. Step 6: Final answer
    x = 31,013.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.