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Finding the Third Proportional to 6,735 and 7,203

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Solution

The third proportional to 6,735 and 7,203 is: 7,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735 : 7,203 = 7,203 : x
  2. Step 2: Convert to fraction form
    6,735/7,203 = 7,203/x
  3. Step 3: Cross multiply
    6,735x = 7,203 × 7,203
  4. Step 4: Simplify right side
    6,735x = 51,883,209
  5. Step 5: Solve for x
    x = 51,883,209/6,735
  6. Step 6: Final answer
    x = 7,703.52

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.