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Finding the Third Proportional to 14,823 and 23,085

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Solution

The third proportional to 14,823 and 23,085 is: 35,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823 : 23,085 = 23,085 : x
  2. Step 2: Convert to fraction form
    14,823/23,085 = 23,085/x
  3. Step 3: Cross multiply
    14,823x = 23,085 × 23,085
  4. Step 4: Simplify right side
    14,823x = 532,917,225
  5. Step 5: Solve for x
    x = 532,917,225/14,823
  6. Step 6: Final answer
    x = 35,952.05

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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.