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Finding the Third Proportional to 5,657 and 7,333

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Solution

The third proportional to 5,657 and 7,333 is: 9,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657 : 7,333 = 7,333 : x
  2. Step 2: Convert to fraction form
    5,657/7,333 = 7,333/x
  3. Step 3: Cross multiply
    5,657x = 7,333 × 7,333
  4. Step 4: Simplify right side
    5,657x = 53,772,889
  5. Step 5: Solve for x
    x = 53,772,889/5,657
  6. Step 6: Final answer
    x = 9,505.55

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.