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Finding the Third Proportional to 31,305 and 46,971

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Solution

The third proportional to 31,305 and 46,971 is: 70,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305 : 46,971 = 46,971 : x
  2. Step 2: Convert to fraction form
    31,305/46,971 = 46,971/x
  3. Step 3: Cross multiply
    31,305x = 46,971 × 46,971
  4. Step 4: Simplify right side
    31,305x = 2,206,274,841
  5. Step 5: Solve for x
    x = 2,206,274,841/31,305
  6. Step 6: Final answer
    x = 70,476.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.