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Finding the Third Proportional to 14,977 and 23,284

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Solution

The third proportional to 14,977 and 23,284 is: 36,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977 : 23,284 = 23,284 : x
  2. Step 2: Convert to fraction form
    14,977/23,284 = 23,284/x
  3. Step 3: Cross multiply
    14,977x = 23,284 × 23,284
  4. Step 4: Simplify right side
    14,977x = 542,144,656
  5. Step 5: Solve for x
    x = 542,144,656/14,977
  6. Step 6: Final answer
    x = 36,198.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.