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Finding the Third Proportional to 9,703 and 14,735

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Solution

The third proportional to 9,703 and 14,735 is: 22,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703 : 14,735 = 14,735 : x
  2. Step 2: Convert to fraction form
    9,703/14,735 = 14,735/x
  3. Step 3: Cross multiply
    9,703x = 14,735 × 14,735
  4. Step 4: Simplify right side
    9,703x = 217,120,225
  5. Step 5: Solve for x
    x = 217,120,225/9,703
  6. Step 6: Final answer
    x = 22,376.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.