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Finding the Third Proportional to 35,015 and 51,973

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Solution

The third proportional to 35,015 and 51,973 is: 77,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,015 : 51,973 = 51,973 : x
  2. Step 2: Convert to fraction form
    35,015/51,973 = 51,973/x
  3. Step 3: Cross multiply
    35,015x = 51,973 × 51,973
  4. Step 4: Simplify right side
    35,015x = 2,701,192,729
  5. Step 5: Solve for x
    x = 2,701,192,729/35,015
  6. Step 6: Final answer
    x = 77,143.87

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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.