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Finding the Third Proportional to 9,735.75 and 14,925

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Solution

The third proportional to 9,735.75 and 14,925 is: 22,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.75 : 14,925 = 14,925 : x
  2. Step 2: Convert to fraction form
    9,735.75/14,925 = 14,925/x
  3. Step 3: Cross multiply
    9,735.75x = 14,925 × 14,925
  4. Step 4: Simplify right side
    9,735.75x = 222,755,625
  5. Step 5: Solve for x
    x = 222,755,625/9,735.75
  6. Step 6: Final answer
    x = 22,880.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.