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Finding the Third Proportional to 5,914 and 7,735

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Solution

The third proportional to 5,914 and 7,735 is: 10,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914 : 7,735 = 7,735 : x
  2. Step 2: Convert to fraction form
    5,914/7,735 = 7,735/x
  3. Step 3: Cross multiply
    5,914x = 7,735 × 7,735
  4. Step 4: Simplify right side
    5,914x = 59,830,225
  5. Step 5: Solve for x
    x = 59,830,225/5,914
  6. Step 6: Final answer
    x = 10,116.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.