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Finding the Third Proportional to 14,102 and 32,957

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Solution

The third proportional to 14,102 and 32,957 is: 77,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102 : 32,957 = 32,957 : x
  2. Step 2: Convert to fraction form
    14,102/32,957 = 32,957/x
  3. Step 3: Cross multiply
    14,102x = 32,957 × 32,957
  4. Step 4: Simplify right side
    14,102x = 1,086,163,849
  5. Step 5: Solve for x
    x = 1,086,163,849/14,102
  6. Step 6: Final answer
    x = 77,021.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.