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Finding the Third Proportional to 30,645 and 46,151

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Solution

The third proportional to 30,645 and 46,151 is: 69,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 46,151 = 46,151 : x
  2. Step 2: Convert to fraction form
    30,645/46,151 = 46,151/x
  3. Step 3: Cross multiply
    30,645x = 46,151 × 46,151
  4. Step 4: Simplify right side
    30,645x = 2,129,914,801
  5. Step 5: Solve for x
    x = 2,129,914,801/30,645
  6. Step 6: Final answer
    x = 69,502.85

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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.