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Finding the Third Proportional to 14,078 and 16,508

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Solution

The third proportional to 14,078 and 16,508 is: 19,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078 : 16,508 = 16,508 : x
  2. Step 2: Convert to fraction form
    14,078/16,508 = 16,508/x
  3. Step 3: Cross multiply
    14,078x = 16,508 × 16,508
  4. Step 4: Simplify right side
    14,078x = 272,514,064
  5. Step 5: Solve for x
    x = 272,514,064/14,078
  6. Step 6: Final answer
    x = 19,357.44

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.