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Finding the Third Proportional to 4,882 and 10,735

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Solution

The third proportional to 4,882 and 10,735 is: 23,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882 : 10,735 = 10,735 : x
  2. Step 2: Convert to fraction form
    4,882/10,735 = 10,735/x
  3. Step 3: Cross multiply
    4,882x = 10,735 × 10,735
  4. Step 4: Simplify right side
    4,882x = 115,240,225
  5. Step 5: Solve for x
    x = 115,240,225/4,882
  6. Step 6: Final answer
    x = 23,605.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.