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Finding the Third Proportional to 14,320 and 29,042

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Solution

The third proportional to 14,320 and 29,042 is: 58,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320 : 29,042 = 29,042 : x
  2. Step 2: Convert to fraction form
    14,320/29,042 = 29,042/x
  3. Step 3: Cross multiply
    14,320x = 29,042 × 29,042
  4. Step 4: Simplify right side
    14,320x = 843,437,764
  5. Step 5: Solve for x
    x = 843,437,764/14,320
  6. Step 6: Final answer
    x = 58,899.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.