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Finding the Third Proportional to 4,657 and 9,562

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Solution

The third proportional to 4,657 and 9,562 is: 19,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657 : 9,562 = 9,562 : x
  2. Step 2: Convert to fraction form
    4,657/9,562 = 9,562/x
  3. Step 3: Cross multiply
    4,657x = 9,562 × 9,562
  4. Step 4: Simplify right side
    4,657x = 91,431,844
  5. Step 5: Solve for x
    x = 91,431,844/4,657
  6. Step 6: Final answer
    x = 19,633.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.