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Finding the Third Proportional to 30,765 and 46,635

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Solution

The third proportional to 30,765 and 46,635 is: 70,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765 : 46,635 = 46,635 : x
  2. Step 2: Convert to fraction form
    30,765/46,635 = 46,635/x
  3. Step 3: Cross multiply
    30,765x = 46,635 × 46,635
  4. Step 4: Simplify right side
    30,765x = 2,174,823,225
  5. Step 5: Solve for x
    x = 2,174,823,225/30,765
  6. Step 6: Final answer
    x = 70,691.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.