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Finding the Third Proportional to 34,810 and 50,957

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Solution

The third proportional to 34,810 and 50,957 is: 74,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,810 : 50,957 = 50,957 : x
  2. Step 2: Convert to fraction form
    34,810/50,957 = 50,957/x
  3. Step 3: Cross multiply
    34,810x = 50,957 × 50,957
  4. Step 4: Simplify right side
    34,810x = 2,596,615,849
  5. Step 5: Solve for x
    x = 2,596,615,849/34,810
  6. Step 6: Final answer
    x = 74,593.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.