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Finding the Third Proportional to 10,005 and 14,925

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Solution

The third proportional to 10,005 and 14,925 is: 22,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005 : 14,925 = 14,925 : x
  2. Step 2: Convert to fraction form
    10,005/14,925 = 14,925/x
  3. Step 3: Cross multiply
    10,005x = 14,925 × 14,925
  4. Step 4: Simplify right side
    10,005x = 222,755,625
  5. Step 5: Solve for x
    x = 222,755,625/10,005
  6. Step 6: Final answer
    x = 22,264.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.