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Finding the Third Proportional to 14,856 and 23,138

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Solution

The third proportional to 14,856 and 23,138 is: 36,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856 : 23,138 = 23,138 : x
  2. Step 2: Convert to fraction form
    14,856/23,138 = 23,138/x
  3. Step 3: Cross multiply
    14,856x = 23,138 × 23,138
  4. Step 4: Simplify right side
    14,856x = 535,367,044
  5. Step 5: Solve for x
    x = 535,367,044/14,856
  6. Step 6: Final answer
    x = 36,037.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.