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Finding the Third Proportional to 14,691 and 28,641

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Solution

The third proportional to 14,691 and 28,641 is: 55,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 28,641 = 28,641 : x
  2. Step 2: Convert to fraction form
    14,691/28,641 = 28,641/x
  3. Step 3: Cross multiply
    14,691x = 28,641 × 28,641
  4. Step 4: Simplify right side
    14,691x = 820,306,881
  5. Step 5: Solve for x
    x = 820,306,881/14,691
  6. Step 6: Final answer
    x = 55,837.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.