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Finding the Third Proportional to 30,735 and 46,385

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Solution

The third proportional to 30,735 and 46,385 is: 70,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735 : 46,385 = 46,385 : x
  2. Step 2: Convert to fraction form
    30,735/46,385 = 46,385/x
  3. Step 3: Cross multiply
    30,735x = 46,385 × 46,385
  4. Step 4: Simplify right side
    30,735x = 2,151,568,225
  5. Step 5: Solve for x
    x = 2,151,568,225/30,735
  6. Step 6: Final answer
    x = 70,003.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.