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Finding the Third Proportional to 14,503 and 23,051

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Solution

The third proportional to 14,503 and 23,051 is: 36,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503 : 23,051 = 23,051 : x
  2. Step 2: Convert to fraction form
    14,503/23,051 = 23,051/x
  3. Step 3: Cross multiply
    14,503x = 23,051 × 23,051
  4. Step 4: Simplify right side
    14,503x = 531,348,601
  5. Step 5: Solve for x
    x = 531,348,601/14,503
  6. Step 6: Final answer
    x = 36,637.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.