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Finding the Third Proportional to 34,971 and 75,471

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Solution

The third proportional to 34,971 and 75,471 is: 162,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971 : 75,471 = 75,471 : x
  2. Step 2: Convert to fraction form
    34,971/75,471 = 75,471/x
  3. Step 3: Cross multiply
    34,971x = 75,471 × 75,471
  4. Step 4: Simplify right side
    34,971x = 5,695,871,841
  5. Step 5: Solve for x
    x = 5,695,871,841/34,971
  6. Step 6: Final answer
    x = 162,874.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.