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Finding the Third Proportional to 29,957 and 57,583

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Solution

The third proportional to 29,957 and 57,583 is: 110,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957 : 57,583 = 57,583 : x
  2. Step 2: Convert to fraction form
    29,957/57,583 = 57,583/x
  3. Step 3: Cross multiply
    29,957x = 57,583 × 57,583
  4. Step 4: Simplify right side
    29,957x = 3,315,801,889
  5. Step 5: Solve for x
    x = 3,315,801,889/29,957
  6. Step 6: Final answer
    x = 110,685.38

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.