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Finding the Third Proportional to 14,396 and 32,138

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Solution

The third proportional to 14,396 and 32,138 is: 71,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396 : 32,138 = 32,138 : x
  2. Step 2: Convert to fraction form
    14,396/32,138 = 32,138/x
  3. Step 3: Cross multiply
    14,396x = 32,138 × 32,138
  4. Step 4: Simplify right side
    14,396x = 1,032,851,044
  5. Step 5: Solve for x
    x = 1,032,851,044/14,396
  6. Step 6: Final answer
    x = 71,745.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.