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Finding the Third Proportional to 30,971 and 45,727

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Solution

The third proportional to 30,971 and 45,727 is: 67,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971 : 45,727 = 45,727 : x
  2. Step 2: Convert to fraction form
    30,971/45,727 = 45,727/x
  3. Step 3: Cross multiply
    30,971x = 45,727 × 45,727
  4. Step 4: Simplify right side
    30,971x = 2,090,958,529
  5. Step 5: Solve for x
    x = 2,090,958,529/30,971
  6. Step 6: Final answer
    x = 67,513.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.