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Finding the Third Proportional to 30,131 and 46,807

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Solution

The third proportional to 30,131 and 46,807 is: 72,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,131 : 46,807 = 46,807 : x
  2. Step 2: Convert to fraction form
    30,131/46,807 = 46,807/x
  3. Step 3: Cross multiply
    30,131x = 46,807 × 46,807
  4. Step 4: Simplify right side
    30,131x = 2,190,895,249
  5. Step 5: Solve for x
    x = 2,190,895,249/30,131
  6. Step 6: Final answer
    x = 72,712.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.