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Finding the Third Proportional to 14,904 and 23,172

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Solution

The third proportional to 14,904 and 23,172 is: 36,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 23,172 = 23,172 : x
  2. Step 2: Convert to fraction form
    14,904/23,172 = 23,172/x
  3. Step 3: Cross multiply
    14,904x = 23,172 × 23,172
  4. Step 4: Simplify right side
    14,904x = 536,941,584
  5. Step 5: Solve for x
    x = 536,941,584/14,904
  6. Step 6: Final answer
    x = 36,026.68

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