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Finding the Third Proportional to 9,703.25 and 14,630.75

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Solution

The third proportional to 9,703.25 and 14,630.75 is: 22,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.25 : 14,630.75 = 14,630.75 : x
  2. Step 2: Convert to fraction form
    9,703.25/14,630.75 = 14,630.75/x
  3. Step 3: Cross multiply
    9,703.25x = 14,630.75 × 14,630.75
  4. Step 4: Simplify right side
    9,703.25x = 214,058,845.56
  5. Step 5: Solve for x
    x = 214,058,845.56/9,703.25
  6. Step 6: Final answer
    x = 22,060.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.