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Finding the Third Proportional to 4,577 and 6,735

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Solution

The third proportional to 4,577 and 6,735 is: 9,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577 : 6,735 = 6,735 : x
  2. Step 2: Convert to fraction form
    4,577/6,735 = 6,735/x
  3. Step 3: Cross multiply
    4,577x = 6,735 × 6,735
  4. Step 4: Simplify right side
    4,577x = 45,360,225
  5. Step 5: Solve for x
    x = 45,360,225/4,577
  6. Step 6: Final answer
    x = 9,910.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.